257976096 has 96 divisors (see below), whose sum is σ = 807625728. Its totient is φ = 70498560.

The previous prime is 257976041. The next prime is 257976133. The reversal of 257976096 is 690679752.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×257976096² = 133103332214802432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7111 + ... + 23801.

It is an arithmetic number, because the mean of its divisors is an integer number (8412768).

Almost surely, 2^257976096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257976096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403812864).

257976096 is an abundant number, since it is smaller than the sum of its proper divisors (549649632).

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

257976096 is a wasteful number, since it uses less digits than its factorization.

257976096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16734 (or 16726 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 257976096 is about 16061.6342879546. The cubic root of 257976096 is about 636.5900145589.

It can be divided in two parts, 2579760 and 96, that added together give a triangular number (2579856 = T₂₂₇₁).

The spelling of 257976096 in words is "two hundred fifty-seven million, nine hundred seventy-six thousand, ninety-six".