257808460 has 48 divisors (see below), whose sum is σ = 666340416. Its totient is φ = 81591552.

The previous prime is 257808427. The next prime is 257808487. The reversal of 257808460 is 64808752.

257808460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69007 + ... + 72646.

It is an arithmetic number, because the mean of its divisors is an integer number (13882092).

Almost surely, 2^257808460 is an apocalyptic number.

257808460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257808460 is an abundant number, since it is smaller than the sum of its proper divisors (408531956).

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

257808460 is a wasteful number, since it uses less digits than its factorization.

257808460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141682 (or 141680 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 257808460 is about 16056.4149174092. The cubic root of 257808460 is about 636.4520967070.

The spelling of 257808460 in words is "two hundred fifty-seven million, eight hundred eight thousand, four hundred sixty".