259468800 has 240 divisors, whose sum is σ = 890501040. Its totient is φ = 66519040.

The previous prime is 259468799. The next prime is 259468813. The reversal of 259468800 is 8864952.

259468800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 1113484 + ... + 1113716.

It is an arithmetic number, because the mean of its divisors is an integer number (3710421).

Almost surely, 2^259468800 is an apocalyptic number.

259468800 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 259468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445250520).

259468800 is an abundant number, since it is smaller than the sum of its proper divisors (631032240).

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

259468800 is a wasteful number, since it uses less digits than its factorization.

259468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 259468800 is about 16108.0352619430. The cubic root of 259468800 is about 637.8154686234.

The spelling of 259468800 in words is "two hundred fifty-nine million, four hundred sixty-eight thousand, eight hundred".