56460456 has 64 divisors (see below), whose sum is σ = 168907200. Its totient is φ = 17371584.

The previous prime is 56460449. The next prime is 56460461. The reversal of 56460456 is 65406465.

It is a happy number.

56460456 is a `hidden beast` number, since 5 + 646 + 0 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56460456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7246 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (2639175).

Almost surely, 2^56460456 is an apocalyptic number.

It is an amenable number.

56460456 is an abundant number, since it is smaller than the sum of its proper divisors (112446744).

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

56460456 is a wasteful number, since it uses less digits than its factorization.

56460456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20135 (or 20125 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56460456 is about 7514.0173010181. The cubic root of 56460456 is about 383.6319716104.

The spelling of 56460456 in words is "fifty-six million, four hundred sixty thousand, four hundred fifty-six".