257074864 has 40 divisors (see below), whose sum is σ = 547107840. Its totient is φ = 116474688.

The previous prime is 257074861. The next prime is 257074871. The reversal of 257074864 is 468470752.

257074864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×257074864³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257074864.

It is not an unprimeable number, because it can be changed into a prime (257074861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11392 + ... + 25375.

It is an arithmetic number, because the mean of its divisors is an integer number (13677696).

Almost surely, 2^257074864 is an apocalyptic number.

It is an amenable number.

257074864 is an abundant number, since it is smaller than the sum of its proper divisors (290032976).

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

257074864 is a wasteful number, since it uses less digits than its factorization.

257074864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36817 (or 36811 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 257074864 is about 16033.5543158714. The cubic root of 257074864 is about 635.8478467295.

The spelling of 257074864 in words is "two hundred fifty-seven million, seventy-four thousand, eight hundred sixty-four".