257889768 has 32 divisors (see below), whose sum is σ = 646099200. Its totient is φ = 85779968.

The previous prime is 257889763. The next prime is 257889769. The reversal of 257889768 is 867988752.

It is not an unprimeable number, because it can be changed into a prime (257889763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 22712.

It is an arithmetic number, because the mean of its divisors is an integer number (20190600).

Almost surely, 2^257889768 is an apocalyptic number.

It is an amenable number.

257889768 is an abundant number, since it is smaller than the sum of its proper divisors (388209432).

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

257889768 is a wasteful number, since it uses less digits than its factorization.

257889768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22921 (or 22917 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 60.

The square root of 257889768 is about 16058.9466653327. The cubic root of 257889768 is about 636.5189980645.

The spelling of 257889768 in words is "two hundred fifty-seven million, eight hundred eighty-nine thousand, seven hundred sixty-eight".