457164432 has 160 divisors (see below), whose sum is σ = 1372412160. Its totient is φ = 145566720.

The previous prime is 457164373. The next prime is 457164469. The reversal of 457164432 is 234461754.

457164432 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 644 + 3 + 2 = 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 31 ways as a sum of consecutive naturals, for example, 938493 + ... + 938979.

It is an arithmetic number, because the mean of its divisors is an integer number (8577576).

Almost surely, 2^457164432 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 457164432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686206080).

457164432 is an abundant number, since it is smaller than the sum of its proper divisors (915247728).

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

457164432 is a wasteful number, since it uses less digits than its factorization.

457164432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 457164432 is about 21381.4038828137. The cubic root of 457164432 is about 770.3548328058.

The spelling of 457164432 in words is "four hundred fifty-seven million, one hundred sixty-four thousand, four hundred thirty-two".