257064960 has 128 divisors (see below), whose sum is σ = 824168160. Its totient is φ = 68419584.

The previous prime is 257064923. The next prime is 257064971. The reversal of 257064960 is 69460752.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491259 + ... + 491781.

Almost surely, 2^257064960 is an apocalyptic number.

257064960 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 257064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412084080).

257064960 is an abundant number, since it is smaller than the sum of its proper divisors (567103200).

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

257064960 is an frugal number, since it uses more digits than its factorization.

257064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 257064960 is about 16033.2454606047. The cubic root of 257064960 is about 635.8396811212.

The spelling of 257064960 in words is "two hundred fifty-seven million, sixty-four thousand, nine hundred sixty".