257768964 has 54 divisors (see below), whose sum is σ = 659234394. Its totient is φ = 84925440.

The previous prime is 257768939. The next prime is 257768969. The reversal of 257768964 is 469867752.

257768964 is a `hidden beast` number, since 2 + 577 + 6 + 8 + 9 + 64 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 257602500 = 408^2 + 16050^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257768964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257768969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 338344 + ... + 339104.

Almost surely, 2^257768964 is an apocalyptic number.

It is an amenable number.

257768964 is an abundant number, since it is smaller than the sum of its proper divisors (401465430).

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

257768964 is a wasteful number, since it uses less digits than its factorization.

257768964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 863 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 257768964 is about 16055.1849568917. The cubic root of 257768964 is about 636.4195937708.

The spelling of 257768964 in words is "two hundred fifty-seven million, seven hundred sixty-eight thousand, nine hundred sixty-four".