257643360 has 144 divisors (see below), whose sum is σ = 946908144. Its totient is φ = 63415296.

The previous prime is 257643359. The next prime is 257643391. The reversal of 257643360 is 63346752.

257643360 is a `hidden beast` number, since 2 + 5 + 7 + 643 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11839 + ... + 25601.

It is an arithmetic number, because the mean of its divisors is an integer number (6575751).

Almost surely, 2^257643360 is an apocalyptic number.

257643360 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 257643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473454072).

257643360 is an abundant number, since it is smaller than the sum of its proper divisors (689264784).

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

257643360 is a wasteful number, since it uses less digits than its factorization.

257643360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13797 (or 13786 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 257643360 is about 16051.2728467246. The cubic root of 257643360 is about 636.3162068299.

The spelling of 257643360 in words is "two hundred fifty-seven million, six hundred forty-three thousand, three hundred sixty".