257652432 has 60 divisors (see below), whose sum is σ = 722348484. Its totient is φ = 85731840.

The previous prime is 257652403. The next prime is 257652433. The reversal of 257652432 is 234256752.

257652432 is a `hidden beast` number, since 2 + 576 + 52 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 107246736 = 12264^2 + 10356^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257652433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104332 + ... + 106772.

Almost surely, 2^257652432 is an apocalyptic number.

It is an amenable number.

257652432 is an abundant number, since it is smaller than the sum of its proper divisors (464696052).

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

257652432 is a wasteful number, since it uses less digits than its factorization.

257652432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3179 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 257652432 is about 16051.5554386483. Note that the first 3 decimals coincide. The cubic root of 257652432 is about 636.3236752841.

The spelling of 257652432 in words is "two hundred fifty-seven million, six hundred fifty-two thousand, four hundred thirty-two".