488600 has 48 divisors (see below), whose sum is σ = 1302000. Its totient is φ = 167040.

The previous prime is 488573. The next prime is 488603. The reversal of 488600 is 6884.

It is a Cunningham number, because it is equal to 699²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 488600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488603) by changing a digit.

488600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1226 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (27125).

2⁴⁸⁸⁶⁰⁰ is an apocalyptic number.

488600 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 488600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651000).

488600 is an abundant number, since it is smaller than the sum of its proper divisors (813400).

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

488600 is a wasteful number, since it uses less digits than its factorization.

488600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 488600 is about 698.9992846921. Note that the first 3 decimals coincide. The cubic root of 488600 is about 78.7621968175.

The spelling of 488600 in words is "four hundred eighty-eight thousand, six hundred".