257601280 has 36 divisors (see below), whose sum is σ = 617038632. Its totient is φ = 103040000.

The previous prime is 257601271. The next prime is 257601293. The reversal of 257601280 is 82106752.

257601280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99346 + ... + 101905.

It is an arithmetic number, because the mean of its divisors is an integer number (17139962).

Almost surely, 2^257601280 is an apocalyptic number.

257601280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257601280 is an abundant number, since it is smaller than the sum of its proper divisors (359437352).

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

257601280 is an equidigital number, since it uses as much as digits as its factorization.

257601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201272 (or 201258 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 257601280 is about 16049.9619937245. The cubic root of 257601280 is about 636.2815625011.

The spelling of 257601280 in words is "two hundred fifty-seven million, six hundred one thousand, two hundred eighty".