457653312 has 42 divisors (see below), whose sum is σ = 1311782238. Its totient is φ = 152550912.

The previous prime is 457653299. The next prime is 457653353. The reversal of 457653312 is 213356754.

457653312 is a `hidden beast` number, since 4 + 576 + 53 + 31 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 263218176 + 194435136 = 16224^2 + 13944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 396693 + ... + 397844.

Almost surely, 2^457653312 is an apocalyptic number.

It is an amenable number.

457653312 is an abundant number, since it is smaller than the sum of its proper divisors (854128926).

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

457653312 is a wasteful number, since it uses less digits than its factorization.

457653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794555 (or 794542 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 457653312 is about 21392.8331924502. The cubic root of 457653312 is about 770.6293342601.

The spelling of 457653312 in words is "four hundred fifty-seven million, six hundred fifty-three thousand, three hundred twelve".