257405328 has 60 divisors (see below), whose sum is σ = 751707840. Its totient is φ = 82070208.

The previous prime is 257405243. The next prime is 257405341. The reversal of 257405328 is 823504752.

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

It is a junction number, because it is equal to n+sod(n) for n = 257405292 and 257405301.

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, 35548 + ... + 42171.

It is an arithmetic number, because the mean of its divisors is an integer number (12528464).

Almost surely, 2^257405328 is an apocalyptic number.

It is an amenable number.

257405328 is an abundant number, since it is smaller than the sum of its proper divisors (494302512).

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

257405328 is a wasteful number, since it uses less digits than its factorization.

257405328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77756 (or 77747 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 257405328 is about 16043.8563942713. The cubic root of 257405328 is about 636.1201861393.

The spelling of 257405328 in words is "two hundred fifty-seven million, four hundred five thousand, three hundred twenty-eight".