259047072 has 120 divisors (see below), whose sum is σ = 768398400. Its totient is φ = 85608576.

The previous prime is 259047043. The next prime is 259047073. The reversal of 259047072 is 270740952.

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

It is not an unprimeable number, because it can be changed into a prime (259047073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 359929 + ... + 360647.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^259047072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384199200).

259047072 is an abundant number, since it is smaller than the sum of its proper divisors (509351328).

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

259047072 is a wasteful number, since it uses less digits than its factorization.

259047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 259047072 is about 16094.9393288698. The cubic root of 259047072 is about 637.4697231296.

The spelling of 259047072 in words is "two hundred fifty-nine million, forty-seven thousand, seventy-two".