257443264 has 56 divisors (see below), whose sum is σ = 563654448. Its totient is φ = 115906560.

The previous prime is 257443261. The next prime is 257443283. The reversal of 257443264 is 462344752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257443261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30339 + ... + 37885.

It is an arithmetic number, because the mean of its divisors is an integer number (10065258).

Almost surely, 2^257443264 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 257443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281827224).

257443264 is an abundant number, since it is smaller than the sum of its proper divisors (306211184).

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

257443264 is a wasteful number, since it uses less digits than its factorization.

257443264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7603 counting only the distinct ones).

The product of its digits is 161280, while the sum is 37.

The square root of 257443264 is about 16045.0386101125. The cubic root of 257443264 is about 636.1514347413.

The spelling of 257443264 in words is "two hundred fifty-seven million, four hundred forty-three thousand, two hundred sixty-four".