257916096 has 56 divisors (see below), whose sum is σ = 758230640. Its totient is φ = 85971456.

The previous prime is 257916083. The next prime is 257916097. The reversal of 257916096 is 690619752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (257916097) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72901 + ... + 76356.

Almost surely, 2^257916096 is an apocalyptic number.

It is an amenable number.

257916096 is an abundant number, since it is smaller than the sum of its proper divisors (500314544).

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

257916096 is a wasteful number, since it uses less digits than its factorization.

257916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149278 (or 149262 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 257916096 is about 16059.7663743904. The cubic root of 257916096 is about 636.5406580965.

The spelling of 257916096 in words is "two hundred fifty-seven million, nine hundred sixteen thousand, ninety-six".