580900880 has 240 divisors, whose sum is σ = 1740424320. Its totient is φ = 178827264.

The previous prime is 580900849. The next prime is 580900883. The reversal of 580900880 is 88009085.

It is not an unprimeable number, because it can be changed into a prime (580900883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532531 + ... + 1532909.

It is an arithmetic number, because the mean of its divisors is an integer number (7251768).

Almost surely, 2^580900880 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 580900880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870212160).

580900880 is an abundant number, since it is smaller than the sum of its proper divisors (1159523440).

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

580900880 is a wasteful number, since it uses less digits than its factorization.

580900880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 580900880 is about 24101.8854034285. The cubic root of 580900880 is about 834.3866460334.

The spelling of 580900880 in words is "five hundred eighty million, nine hundred thousand, eight hundred eighty".