585480 has 128 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 122880.

The previous prime is 585467. The next prime is 585493. The reversal of 585480 is 84585.

It is an interprime number because it is at equal distance from previous prime (585467) and next prime (585493).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585480.

It is an unprimeable number.

585480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14260 + ... + 14300.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁵⁸⁵⁴⁸⁰ 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 585480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

585480 is an abundant number, since it is smaller than the sum of its proper divisors (1591800).

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

585480 is a wasteful number, since it uses less digits than its factorization.

585480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 585480 is about 765.1666485152. The cubic root of 585480 is about 83.6573342042.

The spelling of 585480 in words is "five hundred eighty-five thousand, four hundred eighty".