4987200 has 84 divisors (see below), whose sum is σ = 16377920. Its totient is φ = 1328640.

The previous prime is 4987127. The next prime is 4987207. The reversal of 4987200 is 27894.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4987207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4281 + ... + 5319.

Almost surely, 2^4987200 is an apocalyptic number.

4987200 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 4987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188960).

4987200 is an abundant number, since it is smaller than the sum of its proper divisors (11390720).

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

4987200 is a wasteful number, since it uses less digits than its factorization.

4987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4987200 is about 2233.2039763533. The cubic root of 4987200 is about 170.8515520262.

The spelling of 4987200 in words is "four million, nine hundred eighty-seven thousand, two hundred".