478584 has 72 divisors (see below), whose sum is σ = 1436760. Its totient is φ = 143616.

The previous prime is 478579. The next prime is 478589. The reversal of 478584 is 485874.

478584 is a `hidden beast` number, since 4 + 78 + 584 = 666.

478584 is digitally balanced in base 3, 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 (478579) and next prime (478589).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

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 478584.

It is not an unprimeable number, because it can be changed into a prime (478589) by changing a digit.

478584 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 17 ways as a sum of consecutive naturals, for example, 20797 + ... + 20819.

It is an arithmetic number, because the mean of its divisors is an integer number (19955).

2⁴⁷⁸⁵⁸⁴ 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 478584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718380).

478584 is an abundant number, since it is smaller than the sum of its proper divisors (958176).

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

478584 is a wasteful number, since it uses less digits than its factorization.

478584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 478584 is about 691.7976582788. The cubic root of 478584 is about 78.2202845929.

The spelling of 478584 in words is "four hundred seventy-eight thousand, five hundred eighty-four".