257310720 has 180 divisors, whose sum is σ = 894539100. Its totient is φ = 68419584.

The previous prime is 257310719. The next prime is 257310733. The reversal of 257310720 is 27013752.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 115605504 = 11904^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737106 + ... + 737454.

Almost surely, 2^257310720 is an apocalyptic number.

257310720 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 257310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447269550).

257310720 is an abundant number, since it is smaller than the sum of its proper divisors (637228380).

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

257310720 is an equidigital number, since it uses as much as digits as its factorization.

257310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 257310720 is about 16040.9077049898. The cubic root of 257310720 is about 636.0422423586.

The spelling of 257310720 in words is "two hundred fifty-seven million, three hundred ten thousand, seven hundred twenty".