257461160 has 64 divisors (see below), whose sum is σ = 636145920. Its totient is φ = 93000960.

The previous prime is 257461147. The next prime is 257461163. The reversal of 257461160 is 61164752.

257461160 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 (257461163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67217 + ... + 70943.

It is an arithmetic number, because the mean of its divisors is an integer number (9939780).

Almost surely, 2^257461160 is an apocalyptic number.

257461160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318072960).

257461160 is an abundant number, since it is smaller than the sum of its proper divisors (378684760).

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

257461160 is a wasteful number, since it uses less digits than its factorization.

257461160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 257461160 is about 16045.5962805999. The cubic root of 257461160 is about 636.1661749500.

The spelling of 257461160 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, one hundred sixty".