4873200 has 120 divisors (see below), whose sum is σ = 16237056. Its totient is φ = 1248000.

The previous prime is 4873199. The next prime is 4873207. The reversal of 4873200 is 23784.

4873200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4873207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37135 + ... + 37265.

Almost surely, 2^4873200 is an apocalyptic number.

4873200 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 4873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118528).

4873200 is an abundant number, since it is smaller than the sum of its proper divisors (11363856).

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

4873200 is a wasteful number, since it uses less digits than its factorization.

4873200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4873200 is about 2207.5325592163. The cubic root of 4873200 is about 169.5397005882.

Adding to 4873200 its reverse (23784), we get a palindrome (4896984).

The spelling of 4873200 in words is "four million, eight hundred seventy-three thousand, two hundred".