457909632 has 128 divisors (see below), whose sum is σ = 1388383200. Its totient is φ = 148469760.

The previous prime is 457909619. The next prime is 457909643. The reversal of 457909632 is 236909754.

It is a happy number.

457909632 is a `hidden beast` number, since 4 + 5 + 7 + 9 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126082 + ... + 129662.

Almost surely, 2^457909632 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 457909632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694191600).

457909632 is an abundant number, since it is smaller than the sum of its proper divisors (930473568).

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

457909632 is a wasteful number, since it uses less digits than its factorization.

457909632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 457909632 is about 21398.8231452106. The cubic root of 457909632 is about 770.7731773836.

The spelling of 457909632 in words is "four hundred fifty-seven million, nine hundred nine thousand, six hundred thirty-two".