257312160 has 384 divisors, whose sum is σ = 1052835840. Its totient is φ = 57480192.

The previous prime is 257312147. The next prime is 257312177. The reversal of 257312160 is 61213752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 2026017 + ... + 2026143.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 2^257312160 is an apocalyptic number.

257312160 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 257312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526417920).

257312160 is an abundant number, since it is smaller than the sum of its proper divisors (795523680).

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

257312160 is a wasteful number, since it uses less digits than its factorization.

257312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 257312160 is about 16040.9525901675. The cubic root of 257312160 is about 636.0434288607.

The spelling of 257312160 in words is "two hundred fifty-seven million, three hundred twelve thousand, one hundred sixty".