259747430400 has 450 divisors, whose sum is σ = 962377603110. Its totient is φ = 69257134080.

The previous prime is 259747430381. The next prime is 259747430401. The reversal of 259747430400 is 4034747952.

259747430400 is a `hidden beast` number, since 25 + 97 + 474 + 30 + 40 + 0 = 666.

259747430400 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 3 ways, for example, as 479084544 + 259268345856 = 21888^2 + 509184^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259747430401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33173686 + ... + 33181514.

Almost surely, 2^259747430400 is an apocalyptic number.

259747430400 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 259747430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481188801555).

259747430400 is an abundant number, since it is smaller than the sum of its proper divisors (702630172710).

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

259747430400 is an frugal number, since it uses more digits than its factorization.

259747430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 259747430400 in words is "two hundred fifty-nine billion, seven hundred forty-seven million, four hundred thirty thousand, four hundred".