484632 has 48 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 157248.

The previous prime is 484621. The next prime is 484639. The reversal of 484632 is 236484.

484632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4608) is a multiple of the sum of its prime factors (192).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 484596 and 484605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484639) by changing a digit.

484632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3753 + ... + 3879.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁴⁸⁴⁶³² 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 484632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920).

484632 is an abundant number, since it is smaller than the sum of its proper divisors (863208).

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

484632 is a wasteful number, since it uses less digits than its factorization.

484632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 484632 is about 696.1551551199. The cubic root of 484632 is about 78.5484034854.

The spelling of 484632 in words is "four hundred eighty-four thousand, six hundred thirty-two".