457132572 has 168 divisors, whose sum is σ = 1336782720. Its totient is φ = 135768960.

The previous prime is 457132553. The next prime is 457132589. The reversal of 457132572 is 275231754.

457132572 is a `hidden beast` number, since 4 + 57 + 1 + 32 + 572 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1174954 + ... + 1175342.

It is an arithmetic number, because the mean of its divisors is an integer number (7957040).

Almost surely, 2^457132572 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 457132572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668391360).

457132572 is an abundant number, since it is smaller than the sum of its proper divisors (879650148).

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

457132572 is a wasteful number, since it uses less digits than its factorization.

457132572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 457132572 is about 21380.6588298864. The cubic root of 457132572 is about 770.3369369290.

The spelling of 457132572 in words is "four hundred fifty-seven million, one hundred thirty-two thousand, five hundred seventy-two".