459
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 720
- Proper Divisor Sum (Aliquot Sum)
- 261
- 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
- 288
- Möbius Function
- 0
- Radical
- 51
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- no
- Odd
- yes
Names
- German
- vierhundertneunundfünfzig· ordinal: vierhundertneunundfünfzigste
- English
- four hundred fifty-nine· ordinal: four hundred fifty-ninth
- Spanish
- cuatrocientos cincuenta y nueve· ordinal: 459º
- French
- quatre cent cinquante-neuf· ordinal: quatre cent cinquante-neufième
- Italian
- quattrocentocinquantanove· ordinal: 459º
- Latin
- quadringenti quinquaginta novem· ordinal: 459.
- Portuguese
- quatrocentos e cinquenta e nove· ordinal: 459º
Appears in sequences
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=23A000960
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=25A000969
- Number of minimally 2-edge-connected non-isomorphic graphs with n nodes.at n=8A001072
- Associated Mersenne numbers.at n=16A001351
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=51A001840
- Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n).at n=44A002365
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2.at n=42A002503
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=31A002789
- a(n) = floor((n^2 + 6n - 3)/4).at n=39A004116
- a(n) = ceiling(100*log_2(n)).at n=23A004264
- Divisible only by primes congruent to 3 mod 7.at n=29A004621
- Numbers whose binary expansion ends in 011.at n=56A004769
- Representation degeneracies for boson strings.at n=27A005290
- Sorting numbers: number of comparisons in Batcher's parallel sort.at n=55A006282
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=85A006509
- Percolation series for directed hexagonal lattice.at n=6A006813
- a(n) is the largest odd number k such that 9, 11, ..., k are sums of 3 of first n odd primes.at n=35A007962
- Number of non-Abelian metacyclic groups of order 2^n.at n=22A007982
- Coordination sequence T3 for Zeolite Code AFO.at n=14A008017
- Coordination sequence T1 for Zeolite Code FER.at n=13A008106