257404560 has 320 divisors, whose sum is σ = 968937984. Its totient is φ = 55296000.

The previous prime is 257404529. The next prime is 257404561. The reversal of 257404560 is 65404752.

257404560 is digitally balanced in base 3, 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 (257404561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2548510 + ... + 2548610.

Almost surely, 2^257404560 is an apocalyptic number.

257404560 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 257404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484468992).

257404560 is an abundant number, since it is smaller than the sum of its proper divisors (711533424).

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

257404560 is a wasteful number, since it uses less digits than its factorization.

257404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 257404560 is about 16043.8324598582. The cubic root of 257404560 is about 636.1195534914.

The spelling of 257404560 in words is "two hundred fifty-seven million, four hundred four thousand, five hundred sixty".