482304 has 44 divisors (see below), whose sum is σ = 1293704. Its totient is φ = 159744.

The previous prime is 482281. The next prime is 482309. The reversal of 482304 is 403284.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482309) by changing a digit.

482304 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2994 + ... + 3150.

2⁴⁸²³⁰⁴ 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 482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646852).

482304 is an abundant number, since it is smaller than the sum of its proper divisors (811400).

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

482304 is a wasteful number, since it uses less digits than its factorization.

482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 482304 is about 694.4811012547. The cubic root of 482304 is about 78.4224286795.

Adding to 482304 its reverse (403284), we get a palindrome (885588).

It can be divided in two parts, 48 and 2304, that multiplied together give a cube (110592 = 48³).

The spelling of 482304 in words is "four hundred eighty-two thousand, three hundred four".