488832 has 64 divisors (see below), whose sum is σ = 1387200. Its totient is φ = 152064.

The previous prime is 488827. The next prime is 488833. The reversal of 488832 is 238884.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 488793 and 488802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488832.

It is not an unprimeable number, because it can be changed into a prime (488833) 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, 7263 + ... + 7329.

It is an arithmetic number, because the mean of its divisors is an integer number (21675).

2⁴⁸⁸⁸³² 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 488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693600).

488832 is an abundant number, since it is smaller than the sum of its proper divisors (898368).

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

488832 is a wasteful number, since it uses less digits than its factorization.

488832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 488832 is about 699.1652165261. The cubic root of 488832 is about 78.7746609588.

The spelling of 488832 in words is "four hundred eighty-eight thousand, eight hundred thirty-two".