257349879 has 48 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 164112480.

The previous prime is 257349877. The next prime is 257349887. The reversal of 257349879 is 978943752.

It is not a de Polignac number, because 257349879 - 2¹ = 257349877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257349871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956557 + ... + 956825.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^257349879 is an apocalyptic number.

257349879 is a deficient number, since it is larger than the sum of its proper divisors (145205001).

257349879 is a wasteful number, since it uses less digits than its factorization.

257349879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 257349879 is about 16042.1282565625. The cubic root of 257349879 is about 636.0745062233.

The spelling of 257349879 in words is "two hundred fifty-seven million, three hundred forty-nine thousand, eight hundred seventy-nine".