257218016 has 48 divisors (see below), whose sum is σ = 576471168. Its totient is φ = 111830400.

The previous prime is 257218009. The next prime is 257218057. The reversal of 257218016 is 610812752.

It is a super-2 number, since 2×257218016² = 132322215509952512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 7790 + ... + 23981.

It is an arithmetic number, because the mean of its divisors is an integer number (12009816).

Almost surely, 2^257218016 is an apocalyptic number.

It is an amenable number.

257218016 is an abundant number, since it is smaller than the sum of its proper divisors (319253152).

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

257218016 is a wasteful number, since it uses less digits than its factorization.

257218016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31815 (or 31807 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 257218016 is about 16038.0178326375. The cubic root of 257218016 is about 635.9658486732.

The spelling of 257218016 in words is "two hundred fifty-seven million, two hundred eighteen thousand, sixteen".