4813344 has 72 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1601856.

The previous prime is 4813337. The next prime is 4813349. The reversal of 4813344 is 4433184.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (4813349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7467 + ... + 8085.

It is an arithmetic number, because the mean of its divisors is an integer number (197470).

Almost surely, 2^4813344 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 4813344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4813344 is an abundant number, since it is smaller than the sum of its proper divisors (9404496).

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

4813344 is an equidigital number, since it uses as much as digits as its factorization.

4813344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4813344 is about 2193.9334538677. The cubic root of 4813344 is about 168.8427046180.

The spelling of 4813344 in words is "four million, eight hundred thirteen thousand, three hundred forty-four".