257768992 has 48 divisors (see below), whose sum is σ = 551722752. Its totient is φ = 117838080.

The previous prime is 257768989. The next prime is 257769013. The reversal of 257768992 is 299867752.

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, 41617 + ... + 47407.

It is an arithmetic number, because the mean of its divisors is an integer number (11494224).

Almost surely, 2^257768992 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 257768992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275861376).

257768992 is an abundant number, since it is smaller than the sum of its proper divisors (293953760).

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

257768992 is a wasteful number, since it uses less digits than its factorization.

257768992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5913 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 55.

The square root of 257768992 is about 16055.1858288841. The cubic root of 257768992 is about 636.4196168143.

The spelling of 257768992 in words is "two hundred fifty-seven million, seven hundred sixty-eight thousand, nine hundred ninety-two".