257323560 has 256 divisors, whose sum is σ = 911554560. Its totient is φ = 57507840.

The previous prime is 257323553. The next prime is 257323579. The reversal of 257323560 is 65323752.

257323560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821964 + ... + 822276.

It is an arithmetic number, because the mean of its divisors is an integer number (3560760).

Almost surely, 2^257323560 is an apocalyptic number.

257323560 is a gapful number since it is divisible by the number (20) 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 257323560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455777280).

257323560 is an abundant number, since it is smaller than the sum of its proper divisors (654231000).

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

257323560 is a wasteful number, since it uses less digits than its factorization.

257323560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 257323560 is about 16041.3079267247. The cubic root of 257323560 is about 636.0528218460.

It can be divided in two parts, 25732 and 3560, that added together give a palindrome (29292).

The spelling of 257323560 in words is "two hundred fifty-seven million, three hundred twenty-three thousand, five hundred sixty".