444196944 has 120 divisors (see below), whose sum is σ = 1361865960. Its totient is φ = 134529024.

The previous prime is 444196943. The next prime is 444196957. The reversal of 444196944 is 449691444.

It can be written as a sum of positive squares in 4 ways, for example, as 270273600 + 173923344 = 16440^2 + 13188^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 444196944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444196943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67864 + ... + 74120.

It is an arithmetic number, because the mean of its divisors is an integer number (11348883).

Almost surely, 2^444196944 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 444196944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680932980).

444196944 is an abundant number, since it is smaller than the sum of its proper divisors (917669016).

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

444196944 is a wasteful number, since it uses less digits than its factorization.

444196944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6308 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 444196944 is about 21075.9802619000. The cubic root of 444196944 is about 763.0011434234.

The spelling of 444196944 in words is "four hundred forty-four million, one hundred ninety-six thousand, nine hundred forty-four".