257338560 has 112 divisors (see below), whose sum is σ = 822118752. Its totient is φ = 68198400.

The previous prime is 257338511. The next prime is 257338567. The reversal of 257338560 is 65833752.

257338560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257338567) 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, 173020 + ... + 174500.

It is an arithmetic number, because the mean of its divisors is an integer number (7340346).

Almost surely, 2^257338560 is an apocalyptic number.

257338560 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 257338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411059376).

257338560 is an abundant number, since it is smaller than the sum of its proper divisors (564780192).

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

257338560 is a wasteful number, since it uses less digits than its factorization.

257338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 257338560 is about 16041.7754628345. The cubic root of 257338560 is about 636.0651806145.

The spelling of 257338560 in words is "two hundred fifty-seven million, three hundred thirty-eight thousand, five hundred sixty".