257628960 has 72 divisors (see below), whose sum is σ = 879163740. Its totient is φ = 68700672.

The previous prime is 257628947. The next prime is 257628971. The reversal of 257628960 is 69826752.

257628960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 257409936 + 219024 = 16044^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 88015 + ... + 90894.

Almost surely, 2^257628960 is an apocalyptic number.

257628960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257628960 is an abundant number, since it is smaller than the sum of its proper divisors (621534780).

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

257628960 is a wasteful number, since it uses less digits than its factorization.

257628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178930 (or 178919 counting only the distinct ones).

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

The square root of 257628960 is about 16050.8242778993. The cubic root of 257628960 is about 636.3043517808.

The spelling of 257628960 in words is "two hundred fifty-seven million, six hundred twenty-eight thousand, nine hundred sixty".