444967938 has 64 divisors (see below), whose sum is σ = 1030320000. Its totient is φ = 142172352.

The previous prime is 444967933. The next prime is 444967961. The reversal of 444967938 is 839769444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (444967933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232381 + ... + 234287.

It is an arithmetic number, because the mean of its divisors is an integer number (16098750).

Almost surely, 2^444967938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444967938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515160000).

444967938 is an abundant number, since it is smaller than the sum of its proper divisors (585352062).

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

444967938 is a wasteful number, since it uses less digits than its factorization.

444967938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 444967938 is about 21094.2631537582. The cubic root of 444967938 is about 763.4423360713.

The spelling of 444967938 in words is "four hundred forty-four million, nine hundred sixty-seven thousand, nine hundred thirty-eight".