456575968 has 12 divisors (see below), whose sum is σ = 898884000. Its totient is φ = 228287968.

The previous prime is 456575957. The next prime is 456575981. The reversal of 456575968 is 869575654.

It is a super-2 number, since 2×456575968² = 416923229110274048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7133968 + ... + 7134031.

It is an arithmetic number, because the mean of its divisors is an integer number (74907000).

Almost surely, 2^456575968 is an apocalyptic number.

It is an amenable number.

456575968 is a deficient number, since it is larger than the sum of its proper divisors (442308032).

456575968 is a wasteful number, since it uses less digits than its factorization.

456575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14268009 (or 14268001 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

The square root of 456575968 is about 21367.6383346405. The cubic root of 456575968 is about 770.0241562107.

The spelling of 456575968 in words is "four hundred fifty-six million, five hundred seventy-five thousand, nine hundred sixty-eight".