259338560 has 112 divisors (see below), whose sum is σ = 686848512. Its totient is φ = 92620800.

The previous prime is 259338517. The next prime is 259338589. The reversal of 259338560 is 65833952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127955 + ... + 129965.

It is an arithmetic number, because the mean of its divisors is an integer number (6132576).

Almost surely, 2^259338560 is an apocalyptic number.

259338560 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 259338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343424256).

259338560 is an abundant number, since it is smaller than the sum of its proper divisors (427509952).

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

259338560 is a wasteful number, since it uses less digits than its factorization.

259338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 259338560 is about 16103.9920516622. The cubic root of 259338560 is about 637.7087339032.

The spelling of 259338560 in words is "two hundred fifty-nine million, three hundred thirty-eight thousand, five hundred sixty".