4787200 has 132 divisors (see below), whose sum is σ = 13706712. Its totient is φ = 1638400.

The previous prime is 4787179. The next prime is 4787213. The reversal of 4787200 is 27874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281592 + ... + 281608.

Almost surely, 2^4787200 is an apocalyptic number.

4787200 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 4787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853356).

4787200 is an abundant number, since it is smaller than the sum of its proper divisors (8919512).

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

4787200 is a wasteful number, since it uses less digits than its factorization.

4787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 4787200 is about 2187.9670929884. The cubic root of 4787200 is about 168.5364559944.

The spelling of 4787200 in words is "four million, seven hundred eighty-seven thousand, two hundred".