4680200 has 48 divisors (see below), whose sum is σ = 12439680. Its totient is φ = 1604160.

The previous prime is 4680199. The next prime is 4680211. The reversal of 4680200 is 20864.

4680200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 272 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (259160).

Almost surely, 2^4680200 is an apocalyptic number.

4680200 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 4680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219840).

4680200 is an abundant number, since it is smaller than the sum of its proper divisors (7759480).

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

4680200 is a wasteful number, since it uses less digits than its factorization.

4680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4680200 is about 2163.3769898009. The cubic root of 4680200 is about 167.2713148618.

The spelling of 4680200 in words is "four million, six hundred eighty thousand, two hundred".