456853264 has 30 divisors (see below), whose sum is σ = 1029669774. Its totient is φ = 195793920.

The previous prime is 456853261. The next prime is 456853273. The reversal of 456853264 is 462358654.

It can be written as a sum of positive squares in only one way, i.e., 454030864 + 2822400 = 21308^2 + 1680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 456853264.

It is not an unprimeable number, because it can be changed into a prime (456853261) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 290577 + ... + 292144.

Almost surely, 2^456853264 is an apocalyptic number.

It is an amenable number.

456853264 is an abundant number, since it is smaller than the sum of its proper divisors (572816510).

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

456853264 is a wasteful number, since it uses less digits than its factorization.

456853264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582743 (or 582730 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The square root of 456853264 is about 21374.1260406127. The cubic root of 456853264 is about 770.1800130091.

The spelling of 456853264 in words is "four hundred fifty-six million, eight hundred fifty-three thousand, two hundred sixty-four".