4822144 has 32 divisors (see below), whose sum is σ = 9727740. Its totient is φ = 2380800.

The previous prime is 4822141. The next prime is 4822159. The reversal of 4822144 is 4412284.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 462400 = 2088^2 + 680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4822141) 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 3 ways as a sum of consecutive naturals, for example, 12742 + ... + 13114.

Almost surely, 2^4822144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863870).

4822144 is an abundant number, since it is smaller than the sum of its proper divisors (4905596).

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

4822144 is a wasteful number, since it uses less digits than its factorization.

4822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its digits is 2048, while the sum is 25.

The square root of 4822144 is about 2195.9380683435. The cubic root of 4822144 is about 168.9455375783.

The spelling of 4822144 in words is "four million, eight hundred twenty-two thousand, one hundred forty-four".