257005760 has 56 divisors (see below), whose sum is σ = 667640016. Its totient is φ = 93455360.

The previous prime is 257005747. The next prime is 257005783. The reversal of 257005760 is 67500752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 32987 + ... + 40026.

Almost surely, 2^257005760 is an apocalyptic number.

257005760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257005760 is an abundant number, since it is smaller than the sum of its proper divisors (410634256).

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

257005760 is a wasteful number, since it uses less digits than its factorization.

257005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73041 (or 73031 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 257005760 is about 16031.3991903389. The cubic root of 257005760 is about 635.7908677798.

The spelling of 257005760 in words is "two hundred fifty-seven million, five thousand, seven hundred sixty".