456048928 has 24 divisors (see below), whose sum is σ = 901439280. Its totient is φ = 227112000.

The previous prime is 456048911. The next prime is 456048947. The reversal of 456048928 is 829840654.

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, 20358 + ... + 36421.

It is an arithmetic number, because the mean of its divisors is an integer number (37559970).

Almost surely, 2^456048928 is an apocalyptic number.

It is an amenable number.

456048928 is a deficient number, since it is larger than the sum of its proper divisors (445390352).

456048928 is a wasteful number, since it uses less digits than its factorization.

456048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57040 (or 57032 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 456048928 is about 21355.3021050979. The cubic root of 456048928 is about 769.7277544321.

It can be divided in two parts, 456048 and 928, that added together give a 4-th power (456976 = 26⁴).

The spelling of 456048928 in words is "four hundred fifty-six million, forty-eight thousand, nine hundred twenty-eight".