257570232 has 64 divisors (see below), whose sum is σ = 681283200. Its totient is φ = 80922240.

The previous prime is 257570219. The next prime is 257570239. The reversal of 257570232 is 232075752.

It is a junction number, because it is equal to n+sod(n) for n = 257570193 and 257570202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257570239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94878 + ... + 97554.

It is an arithmetic number, because the mean of its divisors is an integer number (10645050).

Almost surely, 2^257570232 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 257570232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340641600).

257570232 is an abundant number, since it is smaller than the sum of its proper divisors (423712968).

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

257570232 is a wasteful number, since it uses less digits than its factorization.

257570232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 257570232 is about 16048.9947348736. The cubic root of 257570232 is about 636.2559983635.

The spelling of 257570232 in words is "two hundred fifty-seven million, five hundred seventy thousand, two hundred thirty-two".