460100256 has 192 divisors, whose sum is σ = 1529902080. Its totient is φ = 117596160.

The previous prime is 460100213. The next prime is 460100281. The reversal of 460100256 is 652001064.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494800 + ... + 495728.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2^460100256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

460100256 is an abundant number, since it is smaller than the sum of its proper divisors (1069801824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460100256 is a wasteful number, since it uses less digits than its factorization.

460100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 460100256 is about 21449.9476922439. The cubic root of 460100256 is about 772.0003400537. Note that the first 3 decimals are identical.

The spelling of 460100256 in words is "four hundred sixty million, one hundred thousand, two hundred fifty-six".