456956912 has 20 divisors (see below), whose sum is σ = 894484416. Its totient is φ = 226122240.

The previous prime is 456956891. The next prime is 456956921. The reversal of 456956912 is 219659654.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145664 + ... + 148767.

Almost surely, 2^456956912 is an apocalyptic number.

It is an amenable number.

456956912 is a deficient number, since it is larger than the sum of its proper divisors (437527504).

456956912 is a wasteful number, since it uses less digits than its factorization.

456956912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294536 (or 294530 counting only the distinct ones).

The product of its digits is 583200, while the sum is 47.

The square root of 456956912 is about 21376.5505168631. The cubic root of 456956912 is about 770.2382531401.

The spelling of 456956912 in words is "four hundred fifty-six million, nine hundred fifty-six thousand, nine hundred twelve".