257044896 has 72 divisors (see below), whose sum is σ = 773984484. Its totient is φ = 80640000.

The previous prime is 257044873. The next prime is 257044903. The reversal of 257044896 is 698440752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 256640400 + 404496 = 16020^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21355 + ... + 31146.

Almost surely, 2^257044896 is an apocalyptic number.

It is an amenable number.

257044896 is an abundant number, since it is smaller than the sum of its proper divisors (516939588).

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

257044896 is a wasteful number, since it uses less digits than its factorization.

257044896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52534 (or 52523 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 257044896 is about 16032.6197485002. The cubic root of 257044896 is about 635.8231381959.

The spelling of 257044896 in words is "two hundred fifty-seven million, forty-four thousand, eight hundred ninety-six".