580500864 has 256 divisors, whose sum is σ = 1831104000. Its totient is φ = 180652032.

The previous prime is 580500857. The next prime is 580500883. The reversal of 580500864 is 468005085.

It is a happy number.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5325642 + ... + 5325750.

It is an arithmetic number, because the mean of its divisors is an integer number (7152750).

Almost surely, 2^580500864 is an apocalyptic number.

580500864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915552000).

580500864 is an abundant number, since it is smaller than the sum of its proper divisors (1250603136).

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

580500864 is a wasteful number, since it uses less digits than its factorization.

580500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 580500864 is about 24093.5855364037. The cubic root of 580500864 is about 834.1950788420.

The spelling of 580500864 in words is "five hundred eighty million, five hundred thousand, eight hundred sixty-four".