257888232 has 256 divisors, whose sum is σ = 884736000. Its totient is φ = 67931136.

The previous prime is 257888231. The next prime is 257888251. The reversal of 257888232 is 232888752.

It is not an unprimeable number, because it can be changed into a prime (257888231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2030553 + ... + 2030679.

It is an arithmetic number, because the mean of its divisors is an integer number (3456000).

Almost surely, 2^257888232 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 257888232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368000).

257888232 is an abundant number, since it is smaller than the sum of its proper divisors (626847768).

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

257888232 is a wasteful number, since it uses less digits than its factorization.

257888232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 257888232 is about 16058.8988414524. The cubic root of 257888232 is about 636.5177343525.

The spelling of 257888232 in words is "two hundred fifty-seven million, eight hundred eighty-eight thousand, two hundred thirty-two".