257632960 has 112 divisors (see below), whose sum is σ = 699735456. Its totient is φ = 89505792.

The previous prime is 257632957. The next prime is 257632967. The reversal of 257632960 is 69236752.

257632960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (257632967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68899 + ... + 72541.

It is an arithmetic number, because the mean of its divisors is an integer number (6247638).

Almost surely, 2^257632960 is an apocalyptic number.

257632960 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 257632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349867728).

257632960 is an abundant number, since it is smaller than the sum of its proper divisors (442102496).

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

257632960 is a wasteful number, since it uses less digits than its factorization.

257632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 257632960 is about 16050.9488816082. The cubic root of 257632960 is about 636.3076448943.

The spelling of 257632960 in words is "two hundred fifty-seven million, six hundred thirty-two thousand, nine hundred sixty".