257268960 has 288 divisors, whose sum is σ = 982406880. Its totient is φ = 63203328.

The previous prime is 257268959. The next prime is 257268989. The reversal of 257268960 is 69862752.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505186 + ... + 505694.

It is an arithmetic number, because the mean of its divisors is an integer number (3411135).

Almost surely, 2^257268960 is an apocalyptic number.

257268960 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 257268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491203440).

257268960 is an abundant number, since it is smaller than the sum of its proper divisors (725137920).

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

257268960 is a wasteful number, since it uses less digits than its factorization.

257268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 257268960 is about 16039.6059801979. The cubic root of 257268960 is about 636.0078318722.

The spelling of 257268960 in words is "two hundred fifty-seven million, two hundred sixty-eight thousand, nine hundred sixty".