444337160 has 64 divisors (see below), whose sum is σ = 1078628400. Its totient is φ = 164110336.

The previous prime is 444337147. The next prime is 444337163. The reversal of 444337160 is 61733444.

It can be written as a sum of positive squares in 8 ways, for example, as 142898116 + 301439044 = 11954^2 + 17362^2 .

It is not an unprimeable number, because it can be changed into a prime (444337163) 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 15 ways as a sum of consecutive naturals, for example, 29876 + ... + 42204.

Almost surely, 2^444337160 is an apocalyptic number.

444337160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444337160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539314200).

444337160 is an abundant number, since it is smaller than the sum of its proper divisors (634291240).

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

444337160 is a wasteful number, since it uses less digits than its factorization.

444337160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 444337160 is about 21079.3064402034. The cubic root of 444337160 is about 763.0814184116.

The spelling of 444337160 in words is "four hundred forty-four million, three hundred thirty-seven thousand, one hundred sixty".