457477632 has 120 divisors (see below), whose sum is σ = 1369584216. Its totient is φ = 152451072.

The previous prime is 457477627. The next prime is 457477663. The reversal of 457477632 is 236774754.

457477632 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 7 + 7 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122578 + ... + 126254.

Almost surely, 2^457477632 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 457477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684792108).

457477632 is an abundant number, since it is smaller than the sum of its proper divisors (912106584).

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

457477632 is an frugal number, since it uses more digits than its factorization.

457477632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3682 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The square root of 457477632 is about 21388.7267503234. The cubic root of 457477632 is about 770.5307141293.

The spelling of 457477632 in words is "four hundred fifty-seven million, four hundred seventy-seven thousand, six hundred thirty-two".