456005852 has 24 divisors (see below), whose sum is σ = 855867600. Its totient is φ = 211925376.

The previous prime is 456005801. The next prime is 456005861. The reversal of 456005852 is 258500654.

456005852 is a modest number, since divided by 5852 gives 456 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52577 + ... + 60632.

It is an arithmetic number, because the mean of its divisors is an integer number (35661150).

Almost surely, 2^456005852 is an apocalyptic number.

It is an amenable number.

456005852 is a deficient number, since it is larger than the sum of its proper divisors (399861748).

456005852 is a wasteful number, since it uses less digits than its factorization.

456005852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113285 (or 113283 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 456005852 is about 21354.2935261272. The cubic root of 456005852 is about 769.7035188478.

The spelling of 456005852 in words is "four hundred fifty-six million, five thousand, eight hundred fifty-two".