257765464 has 32 divisors (see below), whose sum is σ = 533615040. Its totient is φ = 115751200.

The previous prime is 257765399. The next prime is 257765471. The reversal of 257765464 is 464567752.

257765464 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-2 number, since 2×257765464² = 132886068862270592, which contains 22 as substring.

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, 10342 + ... + 24949.

It is an arithmetic number, because the mean of its divisors is an integer number (16675470).

Almost surely, 2^257765464 is an apocalyptic number.

It is an amenable number.

257765464 is an abundant number, since it is smaller than the sum of its proper divisors (275849576).

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

257765464 is a wasteful number, since it uses less digits than its factorization.

257765464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35391 (or 35387 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 46.

The square root of 257765464 is about 16055.0759574659. The cubic root of 257765464 is about 636.4167133119.

The spelling of 257765464 in words is "two hundred fifty-seven million, seven hundred sixty-five thousand, four hundred sixty-four".