259229440 has 144 divisors (see below), whose sum is σ = 659312640. Its totient is φ = 97505280.

The previous prime is 259229387. The next prime is 259229459. The reversal of 259229440 is 44922952.

It is a self number, because there is not a number n which added to its sum of digits gives 259229440.

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, 1864891 + ... + 1865029.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2^259229440 is an apocalyptic number.

259229440 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 259229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329656320).

259229440 is an abundant number, since it is smaller than the sum of its proper divisors (400083200).

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

259229440 is a wasteful number, since it uses less digits than its factorization.

259229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 259229440 is about 16100.6037153891. The cubic root of 259229440 is about 637.6192800002.

The spelling of 259229440 in words is "two hundred fifty-nine million, two hundred twenty-nine thousand, four hundred forty".