257902480 has 40 divisors (see below), whose sum is σ = 654136704. Its totient is φ = 93782400.

The previous prime is 257902471. The next prime is 257902501. The reversal of 257902480 is 84209752.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) 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 7 ways as a sum of consecutive naturals, for example, 145656 + ... + 147415.

Almost surely, 2^257902480 is an apocalyptic number.

257902480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257902480 is an abundant number, since it is smaller than the sum of its proper divisors (396234224).

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

257902480 is a wasteful number, since it uses less digits than its factorization.

257902480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293095 (or 293089 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 257902480 is about 16059.3424522924. The cubic root of 257902480 is about 636.5294564044.

The spelling of 257902480 in words is "two hundred fifty-seven million, nine hundred two thousand, four hundred eighty".