4880200 has 48 divisors (see below), whose sum is σ = 12225780. Its totient is φ = 1800960.

The previous prime is 4880191. The next prime is 4880201. The reversal of 4880200 is 20884.

It can be written as a sum of positive squares in 6 ways, for example, as 1170724 + 3709476 = 1082^2 + 1926^2 .

It is not an unprimeable number, because it can be changed into a prime (4880201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1662 + ... + 3538.

Almost surely, 2^4880200 is an apocalyptic number.

4880200 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 4880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112890).

4880200 is an abundant number, since it is smaller than the sum of its proper divisors (7345580).

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

4880200 is a wasteful number, since it uses less digits than its factorization.

4880200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1897 counting only the distinct ones).

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

The square root of 4880200 is about 2209.1174708467. The cubic root of 4880200 is about 169.6208389310.

The spelling of 4880200 in words is "four million, eight hundred eighty thousand, two hundred".