257668375 has 32 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 200678400.

The previous prime is 257668349. The next prime is 257668391. The reversal of 257668375 is 573866752.

It is not a de Polignac number, because 257668375 - 2⁵ = 257668343 is a prime.

Its product of digits (2116800) is a multiple of the sum of its prime divisors (450).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957741 + ... + 958009.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^257668375 is an apocalyptic number.

257668375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257668375 is a deficient number, since it is larger than the sum of its proper divisors (72552425).

257668375 is an equidigital number, since it uses as much as digits as its factorization.

257668375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The square root of 257668375 is about 16052.0520495044. The cubic root of 257668375 is about 636.3367998114.

The spelling of 257668375 in words is "two hundred fifty-seven million, six hundred sixty-eight thousand, three hundred seventy-five".