580212200 has 96 divisors (see below), whose sum is σ = 1388482560. Its totient is φ = 225388800.

The previous prime is 580212181. The next prime is 580212203. The reversal of 580212200 is 2212085.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (580212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345985 + ... + 1346415.

It is an arithmetic number, because the mean of its divisors is an integer number (14463360).

Almost surely, 2^580212200 is an apocalyptic number.

580212200 is a gapful number since it is divisible by the number (50) 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 580212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694241280).

580212200 is an abundant number, since it is smaller than the sum of its proper divisors (808270360).

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

580212200 is a wasteful number, since it uses less digits than its factorization.

580212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 580212200 is about 24087.5943174075. The cubic root of 580212200 is about 834.0567833180.

Adding to 580212200 its reverse (2212085), we get a palindrome (582424285).

The spelling of 580212200 in words is "five hundred eighty million, two hundred twelve thousand, two hundred".