468
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 1274
- Proper Divisor Sum (Aliquot Sum)
- 806
- 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
- 144
- Möbius Function
- 0
- Radical
- 78
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 22
- 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
- vierhundertachtundsechzig· ordinal: vierhundertachtundsechzigste
- English
- four hundred sixty-eight· ordinal: four hundred sixty-eighth
- Spanish
- cuatrocientos sesenta y ocho· ordinal: 468º
- French
- quatre cent soixante-huit· ordinal: quatre cent soixante-huitième
- Italian
- quattrocentosessantotto· ordinal: 468º
- Latin
- quadringenti sexaginta octo· ordinal: 468.
- Portuguese
- quatrocentos e sessenta e oito· ordinal: 468º
Appears in sequences
- Number of n-step self-avoiding walks on cubic lattice ending at point with x=2.at n=3A000761
- Number of twin prime pairs <= product of first n primes.at n=5A000882
- Numbers n such that every digit contains a loop (version 2).at n=38A001744
- The coding-theoretic function A(n,4,3).at n=53A001839
- Number of partitions of floor(7n/2) into n nonnegative integers each no more than 7.at n=9A001979
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=24A002053
- 2nd differences are periodic.at n=16A002082
- Number of unlabeled nonseparable (or 2-connected) graphs (or blocks) with n nodes.at n=6A002218
- Sets with a congruence property.at n=3A002705
- Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m).at n=49A003052
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=18A003219
- Numbers that are the sum of 2 positive cubes.at n=25A003325
- Numbers that are the sum of 8 positive 4th powers.at n=45A003342
- Numbers that are the sum of 9 positive 5th powers.at n=17A003354
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=13A003600
- Degrees of irreducible representations of group L4(3).at n=19A003900
- Sums of two nonnegative cubes.at n=33A004999
- Sum of cubes of primes dividing n.at n=34A005064
- Sum of cubes of odd primes dividing n.at n=34A005067
- Record gaps between primes.at n=40A005250