456322656 has 48 divisors (see below), whose sum is σ = 1239159600. Its totient is φ = 146861568.

The previous prime is 456322631. The next prime is 456322673. The reversal of 456322656 is 656223654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79171 + ... + 84738.

It is an arithmetic number, because the mean of its divisors is an integer number (25815825).

Almost surely, 2^456322656 is an apocalyptic number.

It is an amenable number.

456322656 is an abundant number, since it is smaller than the sum of its proper divisors (782836944).

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

456322656 is a wasteful number, since it uses less digits than its factorization.

456322656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163951 (or 163943 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 456322656 is about 21361.7100439080. The cubic root of 456322656 is about 769.8817246792.

The spelling of 456322656 in words is "four hundred fifty-six million, three hundred twenty-two thousand, six hundred fifty-six".