580408080 has 160 divisors (see below), whose sum is σ = 2069224704. Its totient is φ = 131831808.

The previous prime is 580408051. The next prime is 580408093. The reversal of 580408080 is 80804085.

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, 289642 + ... + 291638.

Almost surely, 2^580408080 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 580408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034612352).

580408080 is an abundant number, since it is smaller than the sum of its proper divisors (1488816624).

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

580408080 is a wasteful number, since it uses less digits than its factorization.

580408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 580408080 is about 24091.6599677150. The cubic root of 580408080 is about 834.1506321207.

The spelling of 580408080 in words is "five hundred eighty million, four hundred eight thousand, eighty".