257153296 has 45 divisors (see below), whose sum is σ = 528341463. Its totient is φ = 121232160.

The previous prime is 257153269. The next prime is 257153311. The reversal of 257153296 is 692351752.

The square root of 257153296 is 16036.

It is a perfect power (a square), and thus also a powerful number.

257153296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257153296² = 132255635287327232, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1218631 + ... + 1218841.

Almost surely, 2^257153296 is an apocalyptic number.

257153296 is the 16036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257153296

257153296 is an abundant number, since it is smaller than the sum of its proper divisors (271188167).

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

257153296 is an equidigital number, since it uses as much as digits as its factorization.

257153296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 232 counting only the distinct ones).

The product of its digits is 113400, while the sum is 40.

The cubic root of 257153296 is about 635.9125046099.

The spelling of 257153296 in words is "two hundred fifty-seven million, one hundred fifty-three thousand, two hundred ninety-six".