444061312 has 64 divisors (see below), whose sum is σ = 937951200. Its totient is φ = 208825344.

The previous prime is 444061297. The next prime is 444061337. The reversal of 444061312 is 213160444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×444061312² = 394380897630322688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381243 + ... + 382405.

Almost surely, 2^444061312 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 444061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468975600).

444061312 is an abundant number, since it is smaller than the sum of its proper divisors (493889888).

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

444061312 is a wasteful number, since it uses less digits than its factorization.

444061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 444061312 is about 21072.7623248591. The cubic root of 444061312 is about 762.9234767433.

The spelling of 444061312 in words is "four hundred forty-four million, sixty-one thousand, three hundred twelve".