489888 has 96 divisors (see below), whose sum is σ = 1653120. Its totient is φ = 139968.

The previous prime is 489887. The next prime is 489901. The reversal of 489888 is 888984.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (147456) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 489888.

It is not an unprimeable number, because it can be changed into a prime (489887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69981 + ... + 69987.

It is an arithmetic number, because the mean of its divisors is an integer number (17220).

2⁴⁸⁹⁸⁸⁸ is an apocalyptic number.

489888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826560).

489888 is an abundant number, since it is smaller than the sum of its proper divisors (1163232).

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

489888 is an frugal number, since it uses more digits than its factorization.

489888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 489888 is about 699.9199954280. The cubic root of 489888 is about 78.8313445180.

The spelling of 489888 in words is "four hundred eighty-nine thousand, eight hundred eighty-eight".