257345764 has 27 divisors (see below), whose sum is σ = 488454267. Its totient is φ = 118582464.

The previous prime is 257345761. The next prime is 257345789. The reversal of 257345764 is 467543752.

The square root of 257345764 is 16042.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 183385764 + 73960000 = 13542^2 + 8600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257345764.

It is not an unprimeable number, because it can be changed into a prime (257345761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 416784 + ... + 417400.

Almost surely, 2^257345764 is an apocalyptic number.

257345764 is the 16042-nd square number.

It is an amenable number.

257345764 is a deficient number, since it is larger than the sum of its proper divisors (231108503).

257345764 is an equidigital number, since it uses as much as digits as its factorization.

257345764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 632 counting only the distinct ones).

The product of its digits is 705600, while the sum is 43.

The cubic root of 257345764 is about 636.0711159484.

Multiplying 257345764 by its product of digits (705600), we get a square (181583171078400 = 13475280²).

The spelling of 257345764 in words is "two hundred fifty-seven million, three hundred forty-five thousand, seven hundred sixty-four".