472584 has 64 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 129024.

The previous prime is 472573. The next prime is 472597. The reversal of 472584 is 485274.

472584 is nontrivially palindromic in base 15.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472584.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4824 + ... + 4920.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2⁴⁷²⁵⁸⁴ 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 472584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

472584 is an abundant number, since it is smaller than the sum of its proper divisors (938616).

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

472584 is a wasteful number, since it uses less digits than its factorization.

472584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 472584 is about 687.4474525373. The cubic root of 472584 is about 77.8920268046.

It can be divided in two parts, 4725 and 84, that multiplied together give a square (396900 = 630²).

The spelling of 472584 in words is "four hundred seventy-two thousand, five hundred eighty-four".