257642496 has 156 divisors (see below), whose sum is σ = 773066580. Its totient is φ = 82575360.

The previous prime is 257642491. The next prime is 257642513. The reversal of 257642496 is 694246752.

It can be written as a sum of positive squares in 2 ways, for example, as 165482496 + 92160000 = 12864^2 + 9600^2 .

It is a super-2 number, since 2×257642496² = 132759311490220032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257642491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068936 + ... + 1069176.

It is an arithmetic number, because the mean of its divisors is an integer number (4955555).

Almost surely, 2^257642496 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 257642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386533290).

257642496 is an abundant number, since it is smaller than the sum of its proper divisors (515424084).

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

257642496 is a wasteful number, since it uses less digits than its factorization.

257642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 257642496 is about 16051.2459329486. The cubic root of 257642496 is about 636.3154955394.

The spelling of 257642496 in words is "two hundred fifty-seven million, six hundred forty-two thousand, four hundred ninety-six".