485184 has 84 divisors (see below), whose sum is σ = 1548384. Its totient is φ = 131328.

The previous prime is 485171. The next prime is 485201. The reversal of 485184 is 481584.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25527 + ... + 25545.

2⁴⁸⁵¹⁸⁴ 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 485184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774192).

485184 is an abundant number, since it is smaller than the sum of its proper divisors (1063200).

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

485184 is a wasteful number, since it uses less digits than its factorization.

485184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 31 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 485184 is about 696.5515056333. The cubic root of 485184 is about 78.5782146048.

Subtracting from 485184 its reverse (481584), we obtain a square (3600 = 60²).

It can be divided in two parts, 48 and 5184, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 485184 in words is "four hundred eighty-five thousand, one hundred eighty-four".