257633964 has 54 divisors (see below), whose sum is σ = 757571724. Its totient is φ = 73609200.

The previous prime is 257633947. The next prime is 257633983. The reversal of 257633964 is 469336752.

257633964 is a `hidden beast` number, since 2 + 5 + 7 + 633 + 9 + 6 + 4 = 666.

257633964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71262 + ... + 74789.

It is an arithmetic number, because the mean of its divisors is an integer number (14029106).

Almost surely, 2^257633964 is an apocalyptic number.

It is an amenable number.

257633964 is an abundant number, since it is smaller than the sum of its proper divisors (499937760).

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

257633964 is a wasteful number, since it uses less digits than its factorization.

257633964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146075 (or 146063 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 257633964 is about 16050.9801569873. The cubic root of 257633964 is about 636.3084714604.

The spelling of 257633964 in words is "two hundred fifty-seven million, six hundred thirty-three thousand, nine hundred sixty-four".