6444306 has 64 divisors (see below), whose sum is σ = 16473600. Its totient is φ = 1846800.

The previous prime is 6444299. The next prime is 6444313. The reversal of 6444306 is 6034446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6444299) and next prime (6444313).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6444306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11001 + ... + 11571.

It is an arithmetic number, because the mean of its divisors is an integer number (257400).

Almost surely, 2^6444306 is an apocalyptic number.

6444306 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6444306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236800).

6444306 is an abundant number, since it is smaller than the sum of its proper divisors (10029294).

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

6444306 is a wasteful number, since it uses less digits than its factorization.

6444306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6444306 is about 2538.5637671723. The cubic root of 6444306 is about 186.0910064535.

It can be divided in two parts, 644 and 4306, that added together give a triangular number (4950 = T₉₉).

The spelling of 6444306 in words is "six million, four hundred forty-four thousand, three hundred six".