257385768 has 32 divisors (see below), whose sum is σ = 645278400. Its totient is φ = 85553408.

The previous prime is 257385743. The next prime is 257385781. The reversal of 257385768 is 867583752.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 257385768.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6321 + ... + 23552.

It is an arithmetic number, because the mean of its divisors is an integer number (20164950).

Almost surely, 2^257385768 is an apocalyptic number.

It is an amenable number.

257385768 is an abundant number, since it is smaller than the sum of its proper divisors (387892632).

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

257385768 is a wasteful number, since it uses less digits than its factorization.

257385768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30241 (or 30237 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The square root of 257385768 is about 16043.2468035619. The cubic root of 257385768 is about 636.1040729970.

The spelling of 257385768 in words is "two hundred fifty-seven million, three hundred eighty-five thousand, seven hundred sixty-eight".