456442920 has 48 divisors (see below), whose sum is σ = 1483440660. Its totient is φ = 121718016.

The previous prime is 456442913. The next prime is 456442933. The reversal of 456442920 is 29244654.

456442920 is a `hidden beast` number, since 4 + 5 + 644 + 2 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 450882756 + 5560164 = 21234^2 + 2358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633589 + ... + 634308.

Almost surely, 2^456442920 is an apocalyptic number.

456442920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456442920 is an abundant number, since it is smaller than the sum of its proper divisors (1026997740).

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

456442920 is a wasteful number, since it uses less digits than its factorization.

456442920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267914 (or 1267907 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 456442920 is about 21364.5248016426. The cubic root of 456442920 is about 769.9493529402.

The spelling of 456442920 in words is "four hundred fifty-six million, four hundred forty-two thousand, nine hundred twenty".