259480872 has 240 divisors, whose sum is σ = 873912000. Its totient is φ = 69346368.

The previous prime is 259480861. The next prime is 259480873. The reversal of 259480872 is 278084952.

It is not an unprimeable number, because it can be changed into a prime (259480873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3284529 + ... + 3284607.

It is an arithmetic number, because the mean of its divisors is an integer number (3641300).

Almost surely, 2^259480872 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 259480872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436956000).

259480872 is an abundant number, since it is smaller than the sum of its proper divisors (614431128).

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

259480872 is a wasteful number, since it uses less digits than its factorization.

259480872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 259480872 is about 16108.4099774000. The cubic root of 259480872 is about 637.8253601003.

The spelling of 259480872 in words is "two hundred fifty-nine million, four hundred eighty thousand, eight hundred seventy-two".