488880 has 120 divisors (see below), whose sum is σ = 1895712. Its totient is φ = 110592.

The previous prime is 488879. The next prime is 488893. The reversal of 488880 is 88884.

It is a tau number, because it is divible by the number of its divisors (120).

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 488880.

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 23 ways as a sum of consecutive naturals, for example, 4992 + ... + 5088.

2⁴⁸⁸⁸⁸⁰ is an apocalyptic number.

488880 is a gapful number since it is divisible by the number (40) 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 488880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947856).

488880 is an abundant number, since it is smaller than the sum of its proper divisors (1406832).

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

488880 is a wasteful number, since it uses less digits than its factorization.

488880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

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

The square root of 488880 is about 699.1995423339. The cubic root of 488880 is about 78.7772392542. Note that the first 3 decimals are identical.

The spelling of 488880 in words is "four hundred eighty-eight thousand, eight hundred eighty".