580224960 has 336 divisors, whose sum is σ = 2416430016. Its totient is φ = 124747776.

The previous prime is 580224947. The next prime is 580224961. The reversal of 580224960 is 69422085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×580224960² = 673322008414003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580224961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341874 + ... + 343566.

It is an arithmetic number, because the mean of its divisors is an integer number (7191756).

Almost surely, 2^580224960 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 580224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208215008).

580224960 is an abundant number, since it is smaller than the sum of its proper divisors (1836205056).

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

580224960 is a wasteful number, since it uses less digits than its factorization.

580224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 580224960 is about 24087.8591825841. The cubic root of 580224960 is about 834.0628974526.

The spelling of 580224960 in words is "five hundred eighty million, two hundred twenty-four thousand, nine hundred sixty".