580405920 has 192 divisors, whose sum is σ = 2008903680. Its totient is φ = 140203008.

The previous prime is 580405919. The next prime is 580405933. The reversal of 580405920 is 29504085.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208377 + ... + 211143.

It is an arithmetic number, because the mean of its divisors is an integer number (10463040).

Almost surely, 2^580405920 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 580405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004451840).

580405920 is an abundant number, since it is smaller than the sum of its proper divisors (1428497760).

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

580405920 is a wasteful number, since it uses less digits than its factorization.

580405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 580405920 is about 24091.6151388818. The cubic root of 580405920 is about 834.1495973502.

The spelling of 580405920 in words is "five hundred eighty million, four hundred five thousand, nine hundred twenty".