457853472 has 60 divisors (see below), whose sum is σ = 1346541966. Its totient is φ = 152616960.

The previous prime is 457853453. The next prime is 457853489. The reversal of 457853472 is 274358754.

457853472 is a `hidden beast` number, since 4 + 578 + 5 + 3 + 4 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 362673936 + 95179536 = 19044^2 + 9756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 85729 + ... + 90912.

Almost surely, 2^457853472 is an apocalyptic number.

It is an amenable number.

457853472 is an abundant number, since it is smaller than the sum of its proper divisors (888688494).

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

457853472 is a wasteful number, since it uses less digits than its factorization.

457853472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176663 (or 176646 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 457853472 is about 21397.5108832780. The cubic root of 457853472 is about 770.7416657866.

The spelling of 457853472 in words is "four hundred fifty-seven million, eight hundred fifty-three thousand, four hundred seventy-two".