259801344 has 360 divisors, whose sum is σ = 908173728. Its totient is φ = 72990720.

The previous prime is 259801331. The next prime is 259801349. The reversal of 259801344 is 443108952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 259801299 and 259801308.

It is not an unprimeable number, because it can be changed into a prime (259801349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3877599 + ... + 3877665.

Almost surely, 2^259801344 is an apocalyptic number.

259801344 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 259801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454086864).

259801344 is an abundant number, since it is smaller than the sum of its proper divisors (648372384).

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

259801344 is a wasteful number, since it uses less digits than its factorization.

259801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 259801344 is about 16118.3542584223. The cubic root of 259801344 is about 638.0878342661.

The spelling of 259801344 in words is "two hundred fifty-nine million, eight hundred one thousand, three hundred forty-four".