257648832 has 84 divisors (see below), whose sum is σ = 844017616. Its totient is φ = 73612800.

The previous prime is 257648827. The next prime is 257648857. The reversal of 257648832 is 238846752.

257648832 is a `hidden beast` number, since 2 + 576 + 48 + 8 + 32 = 666.

257648832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

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, 27919 + ... + 35982.

Almost surely, 2^257648832 is an apocalyptic number.

It is an amenable number.

257648832 is an abundant number, since it is smaller than the sum of its proper divisors (586368784).

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

257648832 is a wasteful number, since it uses less digits than its factorization.

257648832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63926 (or 63913 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 257648832 is about 16051.4432995915. The cubic root of 257648832 is about 636.3207116328.

It can be divided in two parts, 25764 and 8832, that added together give a square (34596 = 186²).

The spelling of 257648832 in words is "two hundred fifty-seven million, six hundred forty-eight thousand, eight hundred thirty-two".