457075872 has 480 divisors, whose sum is σ = 1659740544. Its totient is φ = 121651200.

The previous prime is 457075823. The next prime is 457075901. The reversal of 457075872 is 278570754.

457075872 is a `hidden beast` number, since 4 + 570 + 7 + 5 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11148172 + ... + 11148212.

Almost surely, 2^457075872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457075872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829870272).

457075872 is an abundant number, since it is smaller than the sum of its proper divisors (1202664672).

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

457075872 is a wasteful number, since it uses less digits than its factorization.

457075872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 457075872 is about 21379.3328240149. The cubic root of 457075872 is about 770.3050862778.

The spelling of 457075872 in words is "four hundred fifty-seven million, seventy-five thousand, eight hundred seventy-two".