257829264 has 320 divisors, whose sum is σ = 965652480. Its totient is φ = 63866880.

The previous prime is 257829223. The next prime is 257829269. The reversal of 257829264 is 462928752.

257829264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257829269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764904 + ... + 765240.

It is an arithmetic number, because the mean of its divisors is an integer number (3017664).

Almost surely, 2^257829264 is an apocalyptic number.

257829264 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 257829264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482826240).

257829264 is an abundant number, since it is smaller than the sum of its proper divisors (707823216).

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

257829264 is a wasteful number, since it uses less digits than its factorization.

257829264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 257829264 is about 16057.0627450976. The cubic root of 257829264 is about 636.4692158675.

The spelling of 257829264 in words is "two hundred fifty-seven million, eight hundred twenty-nine thousand, two hundred sixty-four".