259916400 has 360 divisors, whose sum is σ = 993043584. Its totient is φ = 62668800.

The previous prime is 259916389. The next prime is 259916441. The reversal of 259916400 is 4619952.

259916400 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 1 + 640 + 0 = 666.

259916400 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 (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897132 + ... + 1897268.

Almost surely, 2^259916400 is an apocalyptic number.

259916400 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 259916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496521792).

259916400 is an abundant number, since it is smaller than the sum of its proper divisors (733127184).

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

259916400 is a wasteful number, since it uses less digits than its factorization.

259916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 259916400 is about 16121.9229622276. The cubic root of 259916400 is about 638.1820151990.

The spelling of 259916400 in words is "two hundred fifty-nine million, nine hundred sixteen thousand, four hundred".