580409920 has 56 divisors (see below), whose sum is σ = 1463414904. Its totient is φ = 218505216.

The previous prime is 580409917. The next prime is 580409927. The reversal of 580409920 is 29904085.

It can be written as a sum of positive squares in 4 ways, for example, as 123476544 + 456933376 = 11112^2 + 21376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 580409920.

It is not an unprimeable number, because it can be changed into a prime (580409927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47907 + ... + 58786.

It is an arithmetic number, because the mean of its divisors is an integer number (26132409).

Almost surely, 2^580409920 is an apocalyptic number.

It is an amenable number.

580409920 is an abundant number, since it is smaller than the sum of its proper divisors (883004984).

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

580409920 is a wasteful number, since it uses less digits than its factorization.

580409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106727 (or 106717 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 580409920 is about 24091.6981551737. The cubic root of 580409920 is about 834.1515135899.

The spelling of 580409920 in words is "five hundred eighty million, four hundred nine thousand, nine hundred twenty".