257090904 has 48 divisors (see below), whose sum is σ = 795759120. Its totient is φ = 73454400.

The previous prime is 257090891. The next prime is 257090921. The reversal of 257090904 is 409090752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 254547 + ... + 255554.

It is an arithmetic number, because the mean of its divisors is an integer number (16578315).

Almost surely, 2^257090904 is an apocalyptic number.

257090904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257090904 is an abundant number, since it is smaller than the sum of its proper divisors (538668216).

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

257090904 is a wasteful number, since it uses less digits than its factorization.

257090904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510120 (or 510113 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 257090904 is about 16034.0545090754. The cubic root of 257090904 is about 635.8610708765.

The spelling of 257090904 in words is "two hundred fifty-seven million, ninety thousand, nine hundred four".