482592 has 48 divisors (see below), whose sum is σ = 1384992. Its totient is φ = 145920.

The previous prime is 482569. The next prime is 482593. The reversal of 482592 is 295284.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 482592.

It is not an unprimeable number, because it can be changed into a prime (482593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (28854).

2⁴⁸²⁵⁹² 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 482592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692496).

482592 is an abundant number, since it is smaller than the sum of its proper divisors (902400).

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

482592 is a wasteful number, since it uses less digits than its factorization.

482592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 482592 is about 694.6884193651. The cubic root of 482592 is about 78.4380351334.

The spelling of 482592 in words is "four hundred eighty-two thousand, five hundred ninety-two".