257077960 has 32 divisors (see below), whose sum is σ = 580867200. Its totient is φ = 102397120.

The previous prime is 257077949. The next prime is 257077967. The reversal of 257077960 is 69770752.

It is a happy number.

257077960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257077967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3886 + ... + 23005.

It is an arithmetic number, because the mean of its divisors is an integer number (18152100).

Almost surely, 2^257077960 is an apocalyptic number.

257077960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257077960 is an abundant number, since it is smaller than the sum of its proper divisors (323789240).

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

257077960 is a wasteful number, since it uses less digits than its factorization.

257077960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27141 (or 27137 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 257077960 is about 16033.6508631066. The cubic root of 257077960 is about 635.8503992636.

The spelling of 257077960 in words is "two hundred fifty-seven million, seventy-seven thousand, nine hundred sixty".