259442720 has 96 divisors (see below), whose sum is σ = 666247680. Its totient is φ = 95109120.

The previous prime is 259442719. The next prime is 259442723. The reversal of 259442720 is 27244952.

It is not an unprimeable number, because it can be changed into a prime (259442723) by changing a digit.

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, 92864 + ... + 95616.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2^259442720 is an apocalyptic number.

259442720 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 259442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

259442720 is an abundant number, since it is smaller than the sum of its proper divisors (406804960).

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

259442720 is a wasteful number, since it uses less digits than its factorization.

259442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 259442720 is about 16107.2257077375. The cubic root of 259442720 is about 637.7940983151.

The spelling of 259442720 in words is "two hundred fifty-nine million, four hundred forty-two thousand, seven hundred twenty".