456064296 has 48 divisors (see below), whose sum is σ = 1203350400. Its totient is φ = 144017568.

The previous prime is 456064283. The next prime is 456064307. The reversal of 456064296 is 692460654.

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 11 ways as a sum of consecutive naturals, for example, 17656 + ... + 34983.

It is an arithmetic number, because the mean of its divisors is an integer number (25069800).

Almost surely, 2^456064296 is an apocalyptic number.

It is an amenable number.

456064296 is an abundant number, since it is smaller than the sum of its proper divisors (747286104).

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

456064296 is a wasteful number, since it uses less digits than its factorization.

456064296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52686 (or 52663 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 456064296 is about 21355.6619190322. The cubic root of 456064296 is about 769.7364004659.

The spelling of 456064296 in words is "four hundred fifty-six million, sixty-four thousand, two hundred ninety-six".