580506306 has 32 divisors (see below), whose sum is σ = 1187377920. Its totient is φ = 189119616.

The previous prime is 580506281. The next prime is 580506307. The reversal of 580506306 is 603605085.

It is not an unprimeable number, because it can be changed into a prime (580506307) 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 15 ways as a sum of consecutive naturals, for example, 362700 + ... + 364296.

It is an arithmetic number, because the mean of its divisors is an integer number (37105560).

Almost surely, 2^580506306 is an apocalyptic number.

580506306 is an abundant number, since it is smaller than the sum of its proper divisors (606871614).

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

580506306 is a wasteful number, since it uses less digits than its factorization.

580506306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 580506306 is about 24093.6984707620. The cubic root of 580506306 is about 834.1976855998.

The spelling of 580506306 in words is "five hundred eighty million, five hundred six thousand, three hundred six".