4859200 has 42 divisors (see below), whose sum is σ = 11960606. Its totient is φ = 1943040.

The previous prime is 4859177. The next prime is 4859201. The reversal of 4859200 is 29584.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 891136 + 3968064 = 944^2 + 1992^2 .

It is a super-2 number, since 2×4859200² = 47223649280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4859201) 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, 82 + ... + 3118.

Almost surely, 2^4859200 is an apocalyptic number.

4859200 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 4859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980303).

4859200 is an abundant number, since it is smaller than the sum of its proper divisors (7101406).

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

4859200 is a wasteful number, since it uses less digits than its factorization.

4859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4859200 is about 2204.3593173528. The cubic root of 4859200 is about 169.3771905056.

The spelling of 4859200 in words is "four million, eight hundred fifty-nine thousand, two hundred".