257928496 has 80 divisors (see below), whose sum is σ = 611349760. Its totient is φ = 102954240.

The previous prime is 257928487. The next prime is 257928511. The reversal of 257928496 is 694829752.

257928496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128815 + ... + 130801.

It is an arithmetic number, because the mean of its divisors is an integer number (7641872).

Almost surely, 2^257928496 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 257928496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305674880).

257928496 is an abundant number, since it is smaller than the sum of its proper divisors (353421264).

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

257928496 is a wasteful number, since it uses less digits than its factorization.

257928496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 257928496 is about 16060.1524276702. The cubic root of 257928496 is about 636.5508590595.

The spelling of 257928496 in words is "two hundred fifty-seven million, nine hundred twenty-eight thousand, four hundred ninety-six".