257270120 has 32 divisors (see below), whose sum is σ = 585839520. Its totient is φ = 101666880.

The previous prime is 257270119. The next prime is 257270131. The reversal of 257270120 is 21072752.

257270120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257270120.

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, 35426 + ... + 42065.

It is an arithmetic number, because the mean of its divisors is an integer number (18307485).

Almost surely, 2^257270120 is an apocalyptic number.

257270120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257270120 is an abundant number, since it is smaller than the sum of its proper divisors (328569400).

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

257270120 is a wasteful number, since it uses less digits than its factorization.

257270120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77585 (or 77581 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 257270120 is about 16039.6421406464. The cubic root of 257270120 is about 636.0087877694.

The spelling of 257270120 in words is "two hundred fifty-seven million, two hundred seventy thousand, one hundred twenty".