456710656 has 40 divisors (see below), whose sum is σ = 931993920. Its totient is φ = 223484928.

The previous prime is 456710641. The next prime is 456710663. The reversal of 456710656 is 656017654.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14575 + ... + 33553.

It is an arithmetic number, because the mean of its divisors is an integer number (23299848).

Almost surely, 2^456710656 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 456710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465996960).

456710656 is an abundant number, since it is smaller than the sum of its proper divisors (475283264).

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

456710656 is an equidigital number, since it uses as much as digits as its factorization.

456710656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19044 (or 19028 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 456710656 is about 21370.7897841891. The cubic root of 456710656 is about 770.0998667344.

The spelling of 456710656 in words is "four hundred fifty-six million, seven hundred ten thousand, six hundred fifty-six".