478
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 720
- Proper Divisor Sum (Aliquot Sum)
- 242
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 238
- Möbius Function
- 1
- Radical
- 478
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- vierhundertachtundsiebzig· ordinal: vierhundertachtundsiebzigste
- English
- four hundred seventy-eight· ordinal: four hundred seventy-eighth
- Spanish
- cuatrocientos setenta y ocho· ordinal: 478º
- French
- quatre cent soixante-dix-huit· ordinal: quatre cent soixante-dix-huitième
- Italian
- quattrocentosettantotto· ordinal: 478º
- Latin
- quadringenti septuaginta octo· ordinal: 478.
- Portuguese
- quatrocentos e setenta e oito· ordinal: 478º
Appears in sequences
- 2nd power of rooted tree enumerator; number of linear forests of 2 rooted trees.at n=7A000106
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25, 50 cents.at n=53A001302
- Number of partitions of n into at most 4 parts.at n=36A001400
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=53A001463
- 2 together with primes multiplied by 2.at n=52A001747
- Number of two-rowed partitions of length 3.at n=17A001993
- Companion Pell numbers: a(n) = 2*a(n-1) + a(n-2), a(0) = a(1) = 2.at n=7A002203
- Related to representation as sums of squares.at n=6A002292
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=26A002644
- Number of partitions of n that do not contain 1 as a part.at n=26A002865
- a(0) = 1, a(n) = sum of digits of all previous terms.at n=49A004207
- a(n) = ceiling(1000*log_10(n)).at n=2A004227
- Numbers k such that k^16 + 1 is prime.at n=25A006313
- a(n+1) = a(n) + sum of digits of a(n), with a(1)=7.at n=44A006507
- Let P(n) of a sequence s(1),s(2),s(3),... be obtained by leaving s(1),...,s(n) fixed and reversing every n consecutive terms thereafter; apply P(2) to 1,2,3,... to get PS(2), then apply P(3) to PS(2) to get PS(3), then apply P(4) to PS(3), etc. This sequence is the limit of PS(n).at n=45A007062
- Apocalyptic powers: 2^a(n) contains 666.at n=26A007356
- Nonsquares such that some permutation of digits is a square.at n=42A007937
- Some nontrivial permutation of digits is a square.at n=51A007938
- Coordination sequence T2 for Zeolite Code NAT.at n=15A008204
- At least 3 out of 10m+1, 10m+3, 10m+7, 10m+9 are primes.at n=44A008470