257700960 has 576 divisors, whose sum is σ = 1085918400. Its totient is φ = 56770560.

The previous prime is 257700959. The next prime is 257700983. The reversal of 257700960 is 69007752.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8886226 + ... + 8886254.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^257700960 is an apocalyptic number.

257700960 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 257700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542959200).

257700960 is an abundant number, since it is smaller than the sum of its proper divisors (828217440).

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

257700960 is a wasteful number, since it uses less digits than its factorization.

257700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 257700960 is about 16053.0669966832. The cubic root of 257700960 is about 636.3636226098.

The spelling of 257700960 in words is "two hundred fifty-seven million, seven hundred thousand, nine hundred sixty".