259999200 has 144 divisors (see below), whose sum is σ = 940408560. Its totient is φ = 69327360.

The previous prime is 259999183. The next prime is 259999213. The reversal of 259999200 is 2999952.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15582 + ... + 27618.

It is an arithmetic number, because the mean of its divisors is an integer number (6530615).

Almost surely, 2^259999200 is an apocalyptic number.

259999200 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 259999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470204280).

259999200 is an abundant number, since it is smaller than the sum of its proper divisors (680409360).

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

259999200 is a wasteful number, since it uses less digits than its factorization.

259999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 259999200 is about 16124.4906896311. The cubic root of 259999200 is about 638.2497752695.

The spelling of 259999200 in words is "two hundred fifty-nine million, nine hundred ninety-nine thousand, two hundred".