4678200 has 144 divisors (see below), whose sum is σ = 16539120. Its totient is φ = 1182720.

The previous prime is 4678187. The next prime is 4678211. The reversal of 4678200 is 28764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41344 + ... + 41456.

It is an arithmetic number, because the mean of its divisors is an integer number (114855).

Almost surely, 2^4678200 is an apocalyptic number.

4678200 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 4678200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269560).

4678200 is an abundant number, since it is smaller than the sum of its proper divisors (11860920).

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

4678200 is a wasteful number, since it uses less digits than its factorization.

4678200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4678200 is about 2162.9147001211. The cubic root of 4678200 is about 167.2474846626.

The spelling of 4678200 in words is "four million, six hundred seventy-eight thousand, two hundred".