259980000 has 240 divisors, whose sum is σ = 976187520. Its totient is φ = 59328000.

The previous prime is 259979953. The next prime is 259980001. The reversal of 259980000 is 89952.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259980001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419691 + ... + 420309.

It is an arithmetic number, because the mean of its divisors is an integer number (4067448).

Almost surely, 2^259980000 is an apocalyptic number.

259980000 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 259980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488093760).

259980000 is an abundant number, since it is smaller than the sum of its proper divisors (716207520).

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

259980000 is an equidigital number, since it uses as much as digits as its factorization.

259980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 259980000 is about 16123.8953109973. The cubic root of 259980000 is about 638.2340640707.

The spelling of 259980000 in words is "two hundred fifty-nine million, nine hundred eighty thousand".