257985104 has 40 divisors (see below), whose sum is σ = 547147272. Its totient is φ = 117112320.

The previous prime is 257985083. The next prime is 257985137. The reversal of 257985104 is 401589752.

It can be written as a sum of positive squares in 4 ways, for example, as 9859600 + 248125504 = 3140^2 + 15752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2522 + ... + 22854.

Almost surely, 2^257985104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257985104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273573636).

257985104 is an abundant number, since it is smaller than the sum of its proper divisors (289162168).

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

257985104 is a wasteful number, since it uses less digits than its factorization.

257985104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20415 (or 20409 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 257985104 is about 16061.9147052897. The cubic root of 257985104 is about 636.5974239484.

The spelling of 257985104 in words is "two hundred fifty-seven million, nine hundred eighty-five thousand, one hundred four".