4687200 has 288 divisors, whose sum is σ = 19998720. Its totient is φ = 1036800.

The previous prime is 4687187. The next prime is 4687211. The reversal of 4687200 is 27864.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151185 + ... + 151215.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

Almost surely, 2^4687200 is an apocalyptic number.

4687200 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 4687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

4687200 is an abundant number, since it is smaller than the sum of its proper divisors (15311520).

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

4687200 is a wasteful number, since it uses less digits than its factorization.

4687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

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

The square root of 4687200 is about 2164.9942263202. The cubic root of 4687200 is about 167.3546671353.

The spelling of 4687200 in words is "four million, six hundred eighty-seven thousand, two hundred".