257980512 has 96 divisors (see below), whose sum is σ = 729630720. Its totient is φ = 79580160.

The previous prime is 257980507. The next prime is 257980553. The reversal of 257980512 is 215089752.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 66564 + ... + 70332.

It is an arithmetic number, because the mean of its divisors is an integer number (7600320).

Almost surely, 2^257980512 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 257980512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364815360).

257980512 is an abundant number, since it is smaller than the sum of its proper divisors (471650208).

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

257980512 is a wasteful number, since it uses less digits than its factorization.

257980512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 257980512 is about 16061.7717578105. The cubic root of 257980512 is about 636.5936468921.

The spelling of 257980512 in words is "two hundred fifty-seven million, nine hundred eighty thousand, five hundred twelve".