444132864 has 240 divisors, whose sum is σ = 1500127200. Its totient is φ = 126443520.

The previous prime is 444132859. The next prime is 444132881. The reversal of 444132864 is 468231444.

444132864 is a `hidden beast` number, since 444 + 132 + 86 + 4 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580404 + ... + 1580684.

It is an arithmetic number, because the mean of its divisors is an integer number (6250530).

Almost surely, 2^444132864 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 444132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750063600).

444132864 is an abundant number, since it is smaller than the sum of its proper divisors (1055994336).

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

444132864 is an equidigital number, since it uses as much as digits as its factorization.

444132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 293 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 444132864 is about 21074.4599930817. The cubic root of 444132864 is about 762.9644513921.

The spelling of 444132864 in words is "four hundred forty-four million, one hundred thirty-two thousand, eight hundred sixty-four".