257368832 has 72 divisors (see below), whose sum is σ = 618105600. Its totient is φ = 104481792.

The previous prime is 257368829. The next prime is 257368847. The reversal of 257368832 is 238863752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30269 + ... + 37827.

It is an arithmetic number, because the mean of its divisors is an integer number (8584800).

Almost surely, 2^257368832 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 257368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309052800).

257368832 is an abundant number, since it is smaller than the sum of its proper divisors (360736768).

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

257368832 is an equidigital number, since it uses as much as digits as its factorization.

257368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601 (or 7587 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 257368832 is about 16042.7189715459. The cubic root of 257368832 is about 636.0901207947.

The spelling of 257368832 in words is "two hundred fifty-seven million, three hundred sixty-eight thousand, eight hundred thirty-two".