444576016 has 80 divisors (see below), whose sum is σ = 935011584. Its totient is φ = 204221952.

The previous prime is 444575983. The next prime is 444576019. The reversal of 444576016 is 610675444.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (444576019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402290 + ... + 1402606.

Almost surely, 2^444576016 is an apocalyptic number.

444576016 is a gapful number since it is divisible by the number (46) 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 444576016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467505792).

444576016 is an abundant number, since it is smaller than the sum of its proper divisors (490435568).

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

444576016 is a wasteful number, since it uses less digits than its factorization.

444576016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 444576016 is about 21084.9713303101. The cubic root of 444576016 is about 763.2181268558.

The spelling of 444576016 in words is "four hundred forty-four million, five hundred seventy-six thousand, sixteen".