257879424 has 64 divisors (see below), whose sum is σ = 747276480. Its totient is φ = 78144000.

The previous prime is 257879411. The next prime is 257879437. The reversal of 257879424 is 424978752.

It is an interprime number because it is at equal distance from previous prime (257879411) and next prime (257879437).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26302 + ... + 34749.

It is an arithmetic number, because the mean of its divisors is an integer number (11676195).

Almost surely, 2^257879424 is an apocalyptic number.

257879424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257879424 is an abundant number, since it is smaller than the sum of its proper divisors (489397056).

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

257879424 is a wasteful number, since it uses less digits than its factorization.

257879424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61079 (or 61067 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 257879424 is about 16058.6245986386. The cubic root of 257879424 is about 636.5104876576.

The spelling of 257879424 in words is "two hundred fifty-seven million, eight hundred seventy-nine thousand, four hundred twenty-four".