580245120 has 768 divisors, whose sum is σ = 2619751680. Its totient is φ = 119439360.

The previous prime is 580245097. The next prime is 580245167. The reversal of 580245120 is 21542085.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14152300 + ... + 14152340.

It is an arithmetic number, because the mean of its divisors is an integer number (3411135).

Almost surely, 2^580245120 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 580245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

580245120 is an abundant number, since it is smaller than the sum of its proper divisors (2039506560).

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

580245120 is a wasteful number, since it uses less digits than its factorization.

580245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 580245120 is about 24088.2776470216. The cubic root of 580245120 is about 834.0725572193.

The spelling of 580245120 in words is "five hundred eighty million, two hundred forty-five thousand, one hundred twenty".