259640800 has 72 divisors (see below), whose sum is σ = 636099912. Its totient is φ = 103488000.

The previous prime is 259640761. The next prime is 259640807. The reversal of 259640800 is 8046952.

It is a happy number.

It is a hoax number, since the sum of its digits (34) 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 (259640807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 392470 + ... + 393130.

It is an arithmetic number, because the mean of its divisors is an integer number (8834721).

Almost surely, 2^259640800 is an apocalyptic number.

259640800 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 259640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318049956).

259640800 is an abundant number, since it is smaller than the sum of its proper divisors (376459112).

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

259640800 is a wasteful number, since it uses less digits than its factorization.

259640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 259640800 is about 16113.3733277672. The cubic root of 259640800 is about 637.9563719213.

The spelling of 259640800 in words is "two hundred fifty-nine million, six hundred forty thousand, eight hundred".