259930944 has 560 divisors, whose sum is σ = 1032662400. Its totient is φ = 62705664.

The previous prime is 259930933. The next prime is 259930961. The reversal of 259930944 is 449039952.

It is a happy number.

It is a super-2 number, since 2×259930944² = 135128191297462272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 259930944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8963122 + ... + 8963150.

It is an arithmetic number, because the mean of its divisors is an integer number (1844040).

Almost surely, 2^259930944 is an apocalyptic number.

259930944 is a gapful number since it is divisible by the number (24) 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 259930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516331200).

259930944 is an abundant number, since it is smaller than the sum of its proper divisors (772731456).

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

259930944 is a wasteful number, since it uses less digits than its factorization.

259930944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 259930944 is about 16122.3740187356. The cubic root of 259930944 is about 638.1939184445.

The spelling of 259930944 in words is "two hundred fifty-nine million, nine hundred thirty thousand, nine hundred forty-four".