444327264 has 72 divisors (see below), whose sum is σ = 1268440992. Its totient is φ = 147536640.

The previous prime is 444327259. The next prime is 444327269. The reversal of 444327264 is 462723444.

It is an interprime number because it is at equal distance from previous prime (444327259) and next prime (444327269).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444327269) 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, 75202 + ... + 80894.

It is an arithmetic number, because the mean of its divisors is an integer number (17617236).

Almost surely, 2^444327264 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 444327264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634220496).

444327264 is an abundant number, since it is smaller than the sum of its proper divisors (824113728).

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

444327264 is a wasteful number, since it uses less digits than its factorization.

444327264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5969 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 444327264 is about 21079.0717063157. The cubic root of 444327264 is about 763.0757534118.

The spelling of 444327264 in words is "four hundred forty-four million, three hundred twenty-seven thousand, two hundred sixty-four".