4800224 has 48 divisors (see below), whose sum is σ = 11113200. Its totient is φ = 2012160.

The previous prime is 4800221. The next prime is 4800241. The reversal of 4800224 is 4220084.

It is a junction number, because it is equal to n+sod(n) for n = 4800196 and 4800205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4052 + ... + 5100.

It is an arithmetic number, because the mean of its divisors is an integer number (231525).

Almost surely, 2^4800224 is an apocalyptic number.

4800224 is a gapful number since it is divisible by the number (44) 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 4800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556600).

4800224 is an abundant number, since it is smaller than the sum of its proper divisors (6312976).

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

4800224 is a wasteful number, since it uses less digits than its factorization.

4800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4800224 is about 2190.9413501963. The cubic root of 4800224 is about 168.6891570323.

The spelling of 4800224 in words is "four million, eight hundred thousand, two hundred twenty-four".