4287200 has 72 divisors (see below), whose sum is σ = 10968048. Its totient is φ = 1633280.

The previous prime is 4287197. The next prime is 4287209. The reversal of 4287200 is 27824.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18284 + ... + 18516.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^4287200 is an apocalyptic number.

4287200 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 4287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484024).

4287200 is an abundant number, since it is smaller than the sum of its proper divisors (6680848).

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

4287200 is a wasteful number, since it uses less digits than its factorization.

4287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4287200 is about 2070.5554810244. Note that the first 3 decimals coincide. The cubic root of 4287200 is about 162.4518200360.

The spelling of 4287200 in words is "four million, two hundred eighty-seven thousand, two hundred".