580979328400 has 135 divisors (see below), whose sum is σ = 1460009600931. Its totient is φ = 222153592320.

The previous prime is 580979328359. The next prime is 580979328409. The reversal of 580979328400 is 4823979085.

The square root of 580979328400 is 762220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60203492496 + 520775835904 = 245364^2 + 721648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (580979328409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350620372 + ... + 350622028.

Almost surely, 2^580979328400 is an apocalyptic number.

580979328400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

580979328400 is the 762220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580979328400

580979328400 is an abundant number, since it is smaller than the sum of its proper divisors (879030272531).

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

580979328400 is an equidigital number, since it uses as much as digits as its factorization.

580979328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 580979328400 in words is "five hundred eighty billion, nine hundred seventy-nine million, three hundred twenty-eight thousand, four hundred".