456924648 has 32 divisors (see below), whose sum is σ = 1161041760. Its totient is φ = 149810880.

The previous prime is 456924631. The next prime is 456924679. The reversal of 456924648 is 846429654.

It is a junction number, because it is equal to n+sod(n) for n = 456924597 and 456924606.

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, 154590 + ... + 157517.

It is an arithmetic number, because the mean of its divisors is an integer number (36282555).

Almost surely, 2^456924648 is an apocalyptic number.

It is an amenable number.

456924648 is an abundant number, since it is smaller than the sum of its proper divisors (704117112).

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

456924648 is a wasteful number, since it uses less digits than its factorization.

456924648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312177 (or 312173 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 456924648 is about 21375.7958448335. The cubic root of 456924648 is about 770.2201248431.

The spelling of 456924648 in words is "four hundred fifty-six million, nine hundred twenty-four thousand, six hundred forty-eight".