257978328 has 64 divisors (see below), whose sum is σ = 662597760. Its totient is φ = 83655936.

The previous prime is 257978323. The next prime is 257978377. The reversal of 257978328 is 823879752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257978323) 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, 471351 + ... + 471897.

It is an arithmetic number, because the mean of its divisors is an integer number (10353090).

Almost surely, 2^257978328 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 257978328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331298880).

257978328 is an abundant number, since it is smaller than the sum of its proper divisors (404619432).

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

257978328 is a wasteful number, since it uses less digits than its factorization.

257978328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 257978328 is about 16061.7037701484. The cubic root of 257978328 is about 636.5918504716.

The spelling of 257978328 in words is "two hundred fifty-seven million, nine hundred seventy-eight thousand, three hundred twenty-eight".