259630440 has 128 divisors (see below), whose sum is σ = 855705600. Its totient is φ = 62726400.

The previous prime is 259630439. The next prime is 259630453. The reversal of 259630440 is 44036952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49965 + ... + 54915.

It is an arithmetic number, because the mean of its divisors is an integer number (6685200).

Almost surely, 2^259630440 is an apocalyptic number.

259630440 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 259630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427852800).

259630440 is an abundant number, since it is smaller than the sum of its proper divisors (596075160).

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

259630440 is a wasteful number, since it uses less digits than its factorization.

259630440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 259630440 is about 16113.0518524580. The cubic root of 259630440 is about 637.9478867167.

The spelling of 259630440 in words is "two hundred fifty-nine million, six hundred thirty thousand, four hundred forty".