4871200 has 36 divisors (see below), whose sum is σ = 11893770. Its totient is φ = 1948160.

The previous prime is 4871183. The next prime is 4871203. The reversal of 4871200 is 21784.

It can be written as a sum of positive squares in 3 ways, for example, as 2944656 + 1926544 = 1716^2 + 1388^2 .

It is not an unprimeable number, because it can be changed into a prime (4871203) 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 5 ways as a sum of consecutive naturals, for example, 2245 + ... + 3844.

Almost surely, 2^4871200 is an apocalyptic number.

4871200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4871200 is an abundant number, since it is smaller than the sum of its proper divisors (7022570).

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

4871200 is a wasteful number, since it uses less digits than its factorization.

4871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 4871200 is about 2207.0795182775. The cubic root of 4871200 is about 169.5165039345.

Adding to 4871200 its reverse (21784), we get a palindrome (4892984).

The spelling of 4871200 in words is "four million, eight hundred seventy-one thousand, two hundred".