408
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- 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)
- 672
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 128
- Möbius Function
- 0
- Radical
- 102
- 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
- yes
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 27
- 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
- vierhundertacht· ordinal: vierhundertachtste
- English
- four hundred eight· ordinal: four hundred eighth
- Spanish
- cuatrocientos ocho· ordinal: 408º
- French
- quatre cent huit· ordinal: quatre cent huitième
- Italian
- quattrocentootto· ordinal: 408º
- Latin
- quadringenti octo· ordinal: 408.
- Portuguese
- quatrocentos e oito· ordinal: 408º
Appears in sequences
- Pell numbers: a(0) = 0, a(1) = 1; for n > 1, a(n) = 2*a(n-1) + a(n-2).at n=8A000129
- a(n) = 2*(3*n)! / ((2*n+1)!*(n+1)!).at n=6A000139
- a(n) = floor(n^2/3).at n=35A000212
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=12A000567
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=20A000702
- Number of compositions of n into 3 ordered relatively prime parts.at n=33A000741
- Numbers beginning with letter 'f' in English.at n=32A000867
- Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).at n=57A000926
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=23A001082
- Numbers that are the sum of 4 cubes in more than 1 way.at n=23A001245
- a(n) = 6*a(n-1) - a(n-2) for n > 1, a(0)=0 and a(1)=2.at n=4A001542
- Numbers n such that every digit contains a loop (version 2).at n=28A001744
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=48A001840
- 2nd differences are periodic.at n=15A002082
- Numbers k such that 3*2^k + 1 is prime.at n=16A002253
- Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n).at n=40A002365
- Number of partitions of at most n into at most 5 parts.at n=15A002622
- Related to coefficient of m in Jacobi elliptic function cn(z, m).at n=4A002754
- a(n) = n + Sum_{k=1..n} pi(k), where pi() = A000720.at n=45A002815
- Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=16A002965