581460 has 48 divisors (see below), whose sum is σ = 1778112. Its totient is φ = 140800.

The previous prime is 581459. The next prime is 581473. The reversal of 581460 is 64185.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 581460.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 581460.

It is an unprimeable number.

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, 220 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2⁵⁸¹⁴⁶⁰ 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 581460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056).

581460 is an abundant number, since it is smaller than the sum of its proper divisors (1196652).

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

581460 is a wasteful number, since it uses less digits than its factorization.

581460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

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

The square root of 581460 is about 762.5352450871. The cubic root of 581460 is about 83.4654260631.

The spelling of 581460 in words is "five hundred eighty-one thousand, four hundred sixty".