488200 has 24 divisors (see below), whose sum is σ = 1135530. Its totient is φ = 195200.

The previous prime is 488197. The next prime is 488203. The reversal of 488200 is 2884.

488200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (488197) and next prime (488203).

It can be written as a sum of positive squares in 3 ways, for example, as 252004 + 236196 = 502^2 + 486^2 .

It is not an unprimeable number, because it can be changed into a prime (488203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021 + ... + 1420.

2⁴⁸⁸²⁰⁰ is an apocalyptic number.

488200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488200 is an abundant number, since it is smaller than the sum of its proper divisors (647330).

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

488200 is a wasteful number, since it uses less digits than its factorization.

488200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 488200 is about 698.7131027825. The cubic root of 488200 is about 78.7406976498.

The spelling of 488200 in words is "four hundred eighty-eight thousand, two hundred".