257814680 has 32 divisors (see below), whose sum is σ = 580541040. Its totient is φ = 103044480.

The previous prime is 257814671. The next prime is 257814701. The reversal of 257814680 is 86418752.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 93887 + ... + 96593.

Almost surely, 2^257814680 is an apocalyptic number.

257814680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257814680 is an abundant number, since it is smaller than the sum of its proper divisors (322726360).

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

257814680 is a wasteful number, since it uses less digits than its factorization.

257814680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 257814680 is about 16056.6086082958. The cubic root of 257814680 is about 636.4572151066.

The spelling of 257814680 in words is "two hundred fifty-seven million, eight hundred fourteen thousand, six hundred eighty".