443972016 has 100 divisors (see below), whose sum is σ = 1304417752. Its totient is φ = 145753344.

The previous prime is 443971963. The next prime is 443972027. The reversal of 443972016 is 610279344.

443972016 is a `hidden beast` number, since 443 + 9 + 7 + 201 + 6 = 666.

It is a super-2 number, since 2×443972016² = 394222301982208512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84276 + ... + 89388.

Almost surely, 2^443972016 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 443972016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652208876).

443972016 is an abundant number, since it is smaller than the sum of its proper divisors (860445736).

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

443972016 is a wasteful number, since it uses less digits than its factorization.

443972016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 443972016 is about 21070.6434643083. The cubic root of 443972016 is about 762.8723347201.

The spelling of 443972016 in words is "four hundred forty-three million, nine hundred seventy-two thousand, sixteen".