456000056 has 32 divisors (see below), whose sum is σ = 870432480. Its totient is φ = 223910400.

The previous prime is 456000053. The next prime is 456000059. The reversal of 456000056 is 650000654.

It is an interprime number because it is at equal distance from previous prime (456000053) and next prime (456000059).

It is a junction number, because it is equal to n+sod(n) for n = 455999989 and 456000034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456000053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158180 + ... + 161036.

It is an arithmetic number, because the mean of its divisors is an integer number (27201015).

Almost surely, 2^456000056 is an apocalyptic number.

It is an amenable number.

456000056 is a deficient number, since it is larger than the sum of its proper divisors (414432424).

456000056 is a wasteful number, since it uses less digits than its factorization.

456000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 456000056 is about 21354.1578152827. The cubic root of 456000056 is about 769.7002577636.

The spelling of 456000056 in words is "four hundred fifty-six million, fifty-six", and thus it is an aban number.