444982032 has 160 divisors (see below), whose sum is σ = 1441872000. Its totient is φ = 130152960.

The previous prime is 444982009. The next prime is 444982049. The reversal of 444982032 is 230289444.

444982032 is a `hidden beast` number, since 4 + 449 + 8 + 203 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 136194 + ... + 139422.

It is an arithmetic number, because the mean of its divisors is an integer number (9011700).

Almost surely, 2^444982032 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 444982032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720936000).

444982032 is an abundant number, since it is smaller than the sum of its proper divisors (996889968).

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

444982032 is a wasteful number, since it uses less digits than its factorization.

444982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 444982032 is about 21094.5972229858. The cubic root of 444982032 is about 763.4503964593.

The spelling of 444982032 in words is "four hundred forty-four million, nine hundred eighty-two thousand, thirty-two".