257823648 has 60 divisors (see below), whose sum is σ = 758259810. Its totient is φ = 85940352.

The previous prime is 257823619. The next prime is 257823653. The reversal of 257823648 is 846328752.

257823648 is a `hidden beast` number, since 2 + 578 + 2 + 36 + 48 = 666.

257823648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 242985744 + 14837904 = 15588^2 + 3852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 47143 + ... + 52326.

Almost surely, 2^257823648 is an apocalyptic number.

It is an amenable number.

257823648 is an abundant number, since it is smaller than the sum of its proper divisors (500436162).

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

257823648 is an equidigital number, since it uses as much as digits as its factorization.

257823648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99491 (or 99474 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 257823648 is about 16056.8878678279. The cubic root of 257823648 is about 636.4645946736.

The spelling of 257823648 in words is "two hundred fifty-seven million, eight hundred twenty-three thousand, six hundred forty-eight".