259814478400 has 63 divisors (see below), whose sum is σ = 639356174041. Its totient is φ = 103917635840.

The previous prime is 259814478383. The next prime is 259814478401. The reversal of 259814478400 is 4874418952.

The square root of 259814478400 is 509720.

It is a perfect power (a square), and thus also a powerful number.

259814478400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 93533212224 + 166281266176 = 305832^2 + 407776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259814478401) 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 8 ways as a sum of consecutive naturals, for example, 20382429 + ... + 20395171.

Almost surely, 2^259814478400 is an apocalyptic number.

259814478400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

259814478400 is the 509720-th square number.

It is an amenable number.

259814478400 is an abundant number, since it is smaller than the sum of its proper divisors (379541695641).

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

259814478400 is an frugal number, since it uses more digits than its factorization.

259814478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25508 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 259814478400 in words is "two hundred fifty-nine billion, eight hundred fourteen million, four hundred seventy-eight thousand, four hundred".