257659872 has 48 divisors (see below), whose sum is σ = 677814480. Its totient is φ = 85701632.

The previous prime is 257659861. The next prime is 257659877. The reversal of 257659872 is 278956752.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257659877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46228 + ... + 51500.

It is an arithmetic number, because the mean of its divisors is an integer number (14121135).

Almost surely, 2^257659872 is an apocalyptic number.

It is an amenable number.

257659872 is an abundant number, since it is smaller than the sum of its proper divisors (420154608).

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

257659872 is a wasteful number, since it uses less digits than its factorization.

257659872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5787 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 257659872 is about 16051.7871902165. The cubic root of 257659872 is about 636.3298000760.

The spelling of 257659872 in words is "two hundred fifty-seven million, six hundred fifty-nine thousand, eight hundred seventy-two".