580380 has 48 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 145408.

The previous prime is 580379. The next prime is 580381. The reversal of 580380 is 83085.

580380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (580379) and next prime (580381).

It is a self number, because there is not a number n which added to its sum of digits gives 580380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁵⁸⁰³⁸⁰ 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 580380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

580380 is an abundant number, since it is smaller than the sum of its proper divisors (1143300).

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

580380 is a wasteful number, since it uses less digits than its factorization.

580380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 580380 is about 761.8267519587. The cubic root of 580380 is about 83.4137179903.

The spelling of 580380 in words is "five hundred eighty thousand, three hundred eighty".