257526864 has 100 divisors (see below), whose sum is σ = 851867104. Its totient is φ = 73576512.

The previous prime is 257526853. The next prime is 257526877. The reversal of 257526864 is 468625752.

257526864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5122 + ... + 23265.

Almost surely, 2^257526864 is an apocalyptic number.

257526864 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 257526864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425933552).

257526864 is an abundant number, since it is smaller than the sum of its proper divisors (594340240).

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

257526864 is a wasteful number, since it uses less digits than its factorization.

257526864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28414 (or 28399 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 257526864 is about 16047.6435653338. The cubic root of 257526864 is about 636.2202868106.

The spelling of 257526864 in words is "two hundred fifty-seven million, five hundred twenty-six thousand, eight hundred sixty-four".