259926400 has 96 divisors (see below), whose sum is σ = 657379800. Its totient is φ = 101498880.

The previous prime is 259926389. The next prime is 259926419. The reversal of 259926400 is 4629952.

259926400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 259926400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136656 + ... + 138544.

Almost surely, 2^259926400 is an apocalyptic number.

259926400 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 259926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328689900).

259926400 is an abundant number, since it is smaller than the sum of its proper divisors (397453400).

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

259926400 is a wasteful number, since it uses less digits than its factorization.

259926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 259926400 is about 16122.2330959455. The cubic root of 259926400 is about 638.1901995464.

The spelling of 259926400 in words is "two hundred fifty-nine million, nine hundred twenty-six thousand, four hundred".