456686016 has 56 divisors (see below), whose sum is σ = 1228155024. Its totient is φ = 149729280.

The previous prime is 456685979. The next prime is 456686023. The reversal of 456686016 is 610686654.

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, 7785 + ... + 31208.

Almost surely, 2^456686016 is an apocalyptic number.

It is an amenable number.

456686016 is an abundant number, since it is smaller than the sum of its proper divisors (771469008).

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

456686016 is a wasteful number, since it uses less digits than its factorization.

456686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39069 (or 39059 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 456686016 is about 21370.2132885940. The cubic root of 456686016 is about 770.0860172641.

The spelling of 456686016 in words is "four hundred fifty-six million, six hundred eighty-six thousand, sixteen".