488808 has 64 divisors (see below), whose sum is σ = 1420800. Its totient is φ = 155520.

The previous prime is 488797. The next prime is 488821. The reversal of 488808 is 808884.

488808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6660 + ... + 6732.

It is an arithmetic number, because the mean of its divisors is an integer number (22200).

2⁴⁸⁸⁸⁰⁸ 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 488808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710400).

488808 is an abundant number, since it is smaller than the sum of its proper divisors (931992).

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

488808 is a wasteful number, since it uses less digits than its factorization.

488808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 488808 is about 699.1480529902. The cubic root of 488808 is about 78.7733717478.

It can be divided in two parts, 488 and 808, that added together give a 4-th power (1296 = 6⁴).

The spelling of 488808 in words is "four hundred eighty-eight thousand, eight hundred eight".