257693872 has 20 divisors (see below), whose sum is σ = 502350040. Its totient is φ = 128055168.

The previous prime is 257693833. The next prime is 257693879. The reversal of 257693872 is 278396752.

It is a super-2 number, since 2×257693872² = 132812263332704768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257693879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46797 + ... + 52012.

It is an arithmetic number, because the mean of its divisors is an integer number (25117502).

Almost surely, 2^257693872 is an apocalyptic number.

It is an amenable number.

257693872 is a deficient number, since it is larger than the sum of its proper divisors (244656168).

257693872 is a wasteful number, since it uses less digits than its factorization.

257693872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98980 (or 98974 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The square root of 257693872 is about 16052.8462273829. The cubic root of 257693872 is about 636.3577882159.

The spelling of 257693872 in words is "two hundred fifty-seven million, six hundred ninety-three thousand, eight hundred seventy-two".