456008852 has 24 divisors (see below), whose sum is σ = 877691136. Its totient is φ = 205986528.

The previous prime is 456008827. The next prime is 456008869. The reversal of 456008852 is 258800654.

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, 90848 + ... + 95735.

It is an arithmetic number, because the mean of its divisors is an integer number (36570464).

Almost surely, 2^456008852 is an apocalyptic number.

It is an amenable number.

456008852 is a deficient number, since it is larger than the sum of its proper divisors (421682284).

456008852 is a wasteful number, since it uses less digits than its factorization.

456008852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186647 (or 186645 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 456008852 is about 21354.3637694969. The cubic root of 456008852 is about 769.7052067687.

The spelling of 456008852 in words is "four hundred fifty-six million, eight thousand, eight hundred fifty-two".