460
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 548
- 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
- 176
- Möbius Function
- 0
- Radical
- 230
- Omega Function (Ω)
- 4
- 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
- 35
- 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
- vierhundertsechzig· ordinal: vierhundertsechzigste
- English
- four hundred sixty· ordinal: four hundred sixtieth
- Spanish
- cuatrocientos sesenta· ordinal: 460º
- French
- quatre cent soixante· ordinal: quatre cent soixantième
- Italian
- quattrocentosessanta· ordinal: 460º
- Latin
- quadringenti sexaginta· ordinal: 460.
- Portuguese
- quatrocentos e sessenta· ordinal: 460º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents.at n=56A001312
- Numbers n such that every digit contains a loop (version 2).at n=35A001744
- Numbers k such that 17*2^k - 1 is prime.at n=13A001774
- Number of partitions of n with exactly two part sizes.at n=55A002133
- a(n) = A002527(n+1) - A002527(n) - A002526(n).at n=7A002529
- Numbers k such that (k^2 + k + 1)/3 is prime.at n=53A002640
- Numbers k such that 2*(2k-3)!/(k!*(k-1)!) is an integer.at n=48A004782
- a(n) is the number of integers m which take n steps to reach 1 in '3x+1' problem.at n=28A005186
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=17A005448
- Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex is strictly to the left of the rightmost top vertex.at n=5A005768
- a(n) = (n+1)*(n^2+n+2)/2; g.f.: (1 + 2*x^2) / (1 - x)^4.at n=9A006000
- Number of pair-coverings with largest block size 3.at n=49A006185
- a(n) = Sum_{k=1..n-1} (k OR n-k).at n=22A006583
- Irregular triangle read by rows: Whitney numbers of the second kind a(n,k), n >= 1, k >= 0, for the star poset.at n=31A007799
- Nonsquares such that some permutation of digits is a square.at n=41A007937
- Some nontrivial permutation of digits is a square.at n=50A007938
- Some permutation of digits is a cube.at n=25A007939
- Noncubes such that some permutation of digits is a cube.at n=18A007940
- Some nontrivial permutation of digits is a cube.at n=20A007941
- a(n) = ceiling((n-3)(n-4)/6).at n=53A007997