259712320 has 168 divisors, whose sum is σ = 748052352. Its totient is φ = 83973120.

The previous prime is 259712293. The next prime is 259712339. The reversal of 259712320 is 23217952.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3657885 + ... + 3657955.

Almost surely, 2^259712320 is an apocalyptic number.

259712320 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 259712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374026176).

259712320 is an abundant number, since it is smaller than the sum of its proper divisors (488340032).

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

259712320 is an equidigital number, since it uses as much as digits as its factorization.

259712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 259712320 is about 16115.5924495502. The cubic root of 259712320 is about 638.0149431614.

The spelling of 259712320 in words is "two hundred fifty-nine million, seven hundred twelve thousand, three hundred twenty".