580242432 has 264 divisors, whose sum is σ = 1951495168. Its totient is φ = 150036480.

The previous prime is 580242391. The next prime is 580242433. The reversal of 580242432 is 234242085.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 580242432.

It is not an unprimeable number, because it can be changed into a prime (580242433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601873 + ... + 2602095.

Almost surely, 2^580242432 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 580242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975747584).

580242432 is an abundant number, since it is smaller than the sum of its proper divisors (1371252736).

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

580242432 is a wasteful number, since it uses less digits than its factorization.

580242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 580242432 is about 24088.2218521833. The cubic root of 580242432 is about 834.0712692633.

The spelling of 580242432 in words is "five hundred eighty million, two hundred forty-two thousand, four hundred thirty-two".