260079600400 has 135 divisors (see below), whose sum is σ = 640790955039. Its totient is φ = 101441141760.

The previous prime is 260079600383. The next prime is 260079600421. The reversal of 260079600400 is 4006970062.

The square root of 260079600400 is 509980.

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

260079600400 is digitally balanced in base 2, 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 4 ways, for example, as 175403536 + 259904196864 = 13244^2 + 509808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 438582504 + ... + 438583096.

Almost surely, 2^260079600400 is an apocalyptic number.

260079600400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

260079600400 is the 509980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260079600400

260079600400 is an abundant number, since it is smaller than the sum of its proper divisors (380711354639).

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

260079600400 is an frugal number, since it uses more digits than its factorization.

260079600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 260079600400 in words is "two hundred sixty billion, seventy-nine million, six hundred thousand, four hundred".