257858768 has 40 divisors (see below), whose sum is σ = 508443648. Its totient is φ = 126669312.

The previous prime is 257858767. The next prime is 257858789. The reversal of 257858768 is 867858752.

It is a super-2 number, since 2×257858768² = 132982288468955648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257858767) 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, 229055 + ... + 230177.

Almost surely, 2^257858768 is an apocalyptic number.

It is an amenable number.

257858768 is a deficient number, since it is larger than the sum of its proper divisors (250584880).

257858768 is a wasteful number, since it uses less digits than its factorization.

257858768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1365 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 56.

The square root of 257858768 is about 16057.9814422610. The cubic root of 257858768 is about 636.4934924905.

The spelling of 257858768 in words is "two hundred fifty-seven million, eight hundred fifty-eight thousand, seven hundred sixty-eight".