581304 has 32 divisors (see below), whose sum is σ = 1483920. Its totient is φ = 189696.

The previous prime is 581303. The next prime is 581311. The reversal of 581304 is 403185.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581303) 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 7 ways as a sum of consecutive naturals, for example, 1044 + ... + 1500.

2⁵⁸¹³⁰⁴ 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 581304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741960).

581304 is an abundant number, since it is smaller than the sum of its proper divisors (902616).

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

581304 is a wasteful number, since it uses less digits than its factorization.

581304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 581304 is about 762.4329478715. The cubic root of 581304 is about 83.4579610777.

Adding to 581304 its reverse (403185), we get a palindrome (984489).

The spelling of 581304 in words is "five hundred eighty-one thousand, three hundred four".