259251200 has 264 divisors, whose sum is σ = 746254320. Its totient is φ = 88473600.

The previous prime is 259251151. The next prime is 259251211. The reversal of 259251200 is 2152952.

259251200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×259251200² = 134422369402880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 259251200.

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, 6323180 + ... + 6323220.

Almost surely, 2^259251200 is an apocalyptic number.

259251200 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 259251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373127160).

259251200 is an abundant number, since it is smaller than the sum of its proper divisors (487003120).

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

259251200 is a wasteful number, since it uses less digits than its factorization.

259251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 259251200 is about 16101.2794522671. The cubic root of 259251200 is about 637.6371203188.

It can be divided in two parts, 2592 and 51200, that multiplied together give a square (132710400 = 11520²).

The spelling of 259251200 in words is "two hundred fifty-nine million, two hundred fifty-one thousand, two hundred".