4844448 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1368576.

The previous prime is 4844443. The next prime is 4844459. The reversal of 4844448 is 8444484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×4844448³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (4844443) 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 23 ways as a sum of consecutive naturals, for example, 54388 + ... + 54476.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^4844448 is an apocalyptic number.

4844448 is a gapful number since it is divisible by the number (48) 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 4844448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

4844448 is an abundant number, since it is smaller than the sum of its proper divisors (11666592).

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

4844448 is an equidigital number, since it uses as much as digits as its factorization.

4844448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 4844448 is about 2201.0106769391. The cubic root of 4844448 is about 169.2056132135.

Adding to 4844448 its sum of digits (36), we get a palindrome (4844484).

The spelling of 4844448 in words is "four million, eight hundred forty-four thousand, four hundred forty-eight".