456009952 has 48 divisors (see below), whose sum is σ = 911134224. Its totient is φ = 224640000.

The previous prime is 456009947. The next prime is 456009977. The reversal of 456009952 is 259900654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758452 + ... + 759052.

It is an arithmetic number, because the mean of its divisors is an integer number (18981963).

Almost surely, 2^456009952 is an apocalyptic number.

It is an amenable number.

456009952 is a deficient number, since it is larger than the sum of its proper divisors (455124272).

456009952 is a wasteful number, since it uses less digits than its factorization.

456009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 456009952 is about 21354.3895253412. The cubic root of 456009952 is about 769.7058256712.

The spelling of 456009952 in words is "four hundred fifty-six million, nine thousand, nine hundred fifty-two".