580900320 has 864 divisors, whose sum is σ = 2762532864. Its totient is φ = 107827200.

The previous prime is 580900297. The next prime is 580900337. The reversal of 580900320 is 23009085.

It is a super-2 number, since 2×580900320² = 674890363552204800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18738705 + ... + 18738735.

It is an arithmetic number, because the mean of its divisors is an integer number (3197376).

Almost surely, 2^580900320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381266432).

580900320 is an abundant number, since it is smaller than the sum of its proper divisors (2181632544).

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

580900320 is a wasteful number, since it uses less digits than its factorization.

580900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 580900320 is about 24101.8737860773. The cubic root of 580900320 is about 834.3863779116.

The spelling of 580900320 in words is "five hundred eighty million, nine hundred thousand, three hundred twenty".