440
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1080
- Proper Divisor Sum (Aliquot Sum)
- 640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 160
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 115
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- vierhundertvierzig· ordinal: vierhundertvierzigste
- English
- four hundred forty· ordinal: four hundred fortieth
- Spanish
- cuatrocientos cuarenta· ordinal: 440º
- French
- quatre cent quarante· ordinal: quatre cent quarantième
- Italian
- quattrocentoquaranta· ordinal: 440º
- Latin
- quadringenti quadraginta· ordinal: 440.
- Portuguese
- quatrocentos e quarenta· ordinal: 440º
Appears in sequences
- Coefficients of iterated exponentials.at n=3A000359
- a(n) = 11*binomial(2n,n-5)/(n+6).at n=3A000589
- Continued fraction associated with y(y+1) = x(x^2 -1).at n=55A001086
- Numbers n such that every digit contains a loop (version 2).at n=30A001744
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=22A002053
- Generalized sum of divisors function.at n=19A002132
- Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n).at n=45A002365
- Nearest integer to exponential integral of n.at n=7A002460
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=21A002790
- Smallest integer m such that the product of every 3 consecutive integers > m has a prime factor > prime(n).at n=5A003032
- Dimensions of split simple Lie algebras over any field of characteristic zero.at n=47A003038
- Beginnings of periodic unitary aliquot sequences.at n=37A003062
- a(n) = A001950(A003234(n)) + 1.at n=46A003249
- Numbers that are the sum of 10 positive 4th powers.at n=51A003344
- Numbers that are the sum of 12 positive 5th powers.at n=19A003357
- a(0) = 1, a(n) = sum of digits of all previous terms.at n=46A004207
- a(n) = ceiling(100*log_2(n)).at n=20A004264
- Number of permutations of (1,...,n) having n-6 inversions (n>=6).at n=4A005284
- Number of permutations of [n] with four inversions.at n=6A005287
- Representation degeneracies for boson strings.at n=17A005294