456265920 has 112 divisors (see below), whose sum is σ = 1580375808. Its totient is φ = 110607360.

The previous prime is 456265883. The next prime is 456265949. The reversal of 456265920 is 29562654.

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, 11044 + ... + 32163.

Almost surely, 2^456265920 is an apocalyptic number.

456265920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456265920 is an abundant number, since it is smaller than the sum of its proper divisors (1124109888).

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

456265920 is a wasteful number, since it uses less digits than its factorization.

456265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43238 (or 43228 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 456265920 is about 21360.3820190557. The cubic root of 456265920 is about 769.8498161021.

The spelling of 456265920 in words is "four hundred fifty-six million, two hundred sixty-five thousand, nine hundred twenty".