4841200 has 180 divisors, whose sum is σ = 15337560. Its totient is φ = 1451520.

The previous prime is 4841197. The next prime is 4841203. The reversal of 4841200 is 21484.

It is an interprime number because it is at equal distance from previous prime (4841197) and next prime (4841203).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4841203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254791 + ... + 254809.

Almost surely, 2^4841200 is an apocalyptic number.

4841200 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 4841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668780).

4841200 is an abundant number, since it is smaller than the sum of its proper divisors (10496360).

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

4841200 is a wasteful number, since it uses less digits than its factorization.

4841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4841200 is about 2200.2727103702. The cubic root of 4841200 is about 169.1677896609.

Adding to 4841200 its reverse (21484), we get a palindrome (4862684).

It can be divided in two parts, 4841 and 200, that added together give a square (5041 = 71²).

The spelling of 4841200 in words is "four million, eight hundred forty-one thousand, two hundred".