257409264 has 160 divisors (see below), whose sum is σ = 814312960. Its totient is φ = 68428800.

The previous prime is 257409263. The next prime is 257409281. The reversal of 257409264 is 462904752.

257409264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257409263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389094 + ... + 389754.

It is an arithmetic number, because the mean of its divisors is an integer number (5089456).

Almost surely, 2^257409264 is an apocalyptic number.

257409264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257409264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407156480).

257409264 is an abundant number, since it is smaller than the sum of its proper divisors (556903696).

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

257409264 is a wasteful number, since it uses less digits than its factorization.

257409264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 257409264 is about 16043.9790575780. The cubic root of 257409264 is about 636.1234284398.

It can be divided in two parts, 257409 and 264, that multiplied together give a palindrome (67955976).

The spelling of 257409264 in words is "two hundred fifty-seven million, four hundred nine thousand, two hundred sixty-four".