444193344 has 168 divisors, whose sum is σ = 1491130368. Its totient is φ = 123770880.

The previous prime is 444193331. The next prime is 444193429. The reversal of 444193344 is 443391444.

It is a tau number, because it is divible by the number of its divisors (168).

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 junction number, because it is equal to n+sod(n) for n = 444193299 and 444193308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163969 + ... + 166655.

It is an arithmetic number, because the mean of its divisors is an integer number (8875776).

Almost surely, 2^444193344 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 444193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

444193344 is an abundant number, since it is smaller than the sum of its proper divisors (1046937024).

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

444193344 is a wasteful number, since it uses less digits than its factorization.

444193344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2740 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 444193344 is about 21075.8948564468. The cubic root of 444193344 is about 762.9990821669. Note that the first 3 decimals are identical.

The spelling of 444193344 in words is "four hundred forty-four million, one hundred ninety-three thousand, three hundred forty-four".