580338 has 32 divisors (see below), whose sum is σ = 1408320. Its totient is φ = 175680.

The previous prime is 580331. The next prime is 580339. The reversal of 580338 is 833085.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (580331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (44010).

2⁵⁸⁰³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704160).

580338 is an abundant number, since it is smaller than the sum of its proper divisors (827982).

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

580338 is a wasteful number, since it uses less digits than its factorization.

580338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 580338 is about 761.7991861377. The cubic root of 580338 is about 83.4117058255.

The spelling of 580338 in words is "five hundred eighty thousand, three hundred thirty-eight".