445641984 has 108 divisors (see below), whose sum is σ = 1295863296. Its totient is φ = 147280896.

The previous prime is 445641971. The next prime is 445642009. The reversal of 445641984 is 489146544.

445641984 is a `hidden beast` number, since 4 + 4 + 564 + 1 + 9 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291847 + ... + 293369.

Almost surely, 2^445641984 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 445641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647931648).

445641984 is an abundant number, since it is smaller than the sum of its proper divisors (850221312).

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

445641984 is a wasteful number, since it uses less digits than its factorization.

445641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1655 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 445641984 is about 21110.2341057602. The cubic root of 445641984 is about 763.8276339680.

The spelling of 445641984 in words is "four hundred forty-five million, six hundred forty-one thousand, nine hundred eighty-four".