488800 has 72 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 176640.

The previous prime is 488797. The next prime is 488821. The reversal of 488800 is 8884.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10377 + ... + 10423.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2⁴⁸⁸⁸⁰⁰ is an apocalyptic number.

488800 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 488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

488800 is an abundant number, since it is smaller than the sum of its proper divisors (823616).

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

488800 is a wasteful number, since it uses less digits than its factorization.

488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 488800 is about 699.1423317179. The cubic root of 488800 is about 78.7729420014.

It can be divided in two parts, 4 and 88800, that added together give a square (88804 = 298²).

The spelling of 488800 in words is "four hundred eighty-eight thousand, eight hundred".