259800 has 48 divisors (see below), whose sum is σ = 807240. Its totient is φ = 69120.

The previous prime is 259783. The next prime is 259801. The reversal of 259800 is 8952.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259800.

It is not an unprimeable number, because it can be changed into a prime (259801) by changing a digit.

259800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384 + ... + 816.

2²⁵⁹⁸⁰⁰ is an apocalyptic number.

259800 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 259800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403620).

259800 is an abundant number, since it is smaller than the sum of its proper divisors (547440).

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

259800 is a wasteful number, since it uses less digits than its factorization.

259800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 259800 is about 509.7057974950. The cubic root of 259800 is about 63.8086733949.

The spelling of 259800 in words is "two hundred fifty-nine thousand, eight hundred".