259204320 has 192 divisors, whose sum is σ = 938952000. Its totient is φ = 66705408.

The previous prime is 259204313. The next prime is 259204339. The reversal of 259204320 is 23402952.

259204320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124246 + ... + 126314.

It is an arithmetic number, because the mean of its divisors is an integer number (4890375).

Almost surely, 2^259204320 is an apocalyptic number.

259204320 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 259204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469476000).

259204320 is an abundant number, since it is smaller than the sum of its proper divisors (679747680).

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

259204320 is a wasteful number, since it uses less digits than its factorization.

259204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 259204320 is about 16099.8236015181. The cubic root of 259204320 is about 637.5986836851.

The spelling of 259204320 in words is "two hundred fifty-nine million, two hundred four thousand, three hundred twenty".