257676496 has 60 divisors (see below), whose sum is σ = 633575520. Its totient is φ = 100390080.

The previous prime is 257676493. The next prime is 257676509. The reversal of 257676496 is 694676752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257676493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6316 + ... + 23563.

It is an arithmetic number, because the mean of its divisors is an integer number (10559592).

Almost surely, 2^257676496 is an apocalyptic number.

It is an amenable number.

257676496 is an abundant number, since it is smaller than the sum of its proper divisors (375899024).

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

257676496 is a wasteful number, since it uses less digits than its factorization.

257676496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29912 (or 29899 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The square root of 257676496 is about 16052.3050058239. The cubic root of 257676496 is about 636.3434849376.

The spelling of 257676496 in words is "two hundred fifty-seven million, six hundred seventy-six thousand, four hundred ninety-six".