445984 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 172800.

The previous prime is 445969. The next prime is 446003. The reversal of 445984 is 489544.

It is a nialpdrome in base 14.

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, 2374 + ... + 2554.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2⁴⁴⁵⁹⁸⁴ is an apocalyptic number.

445984 is a gapful number since it is divisible by the number (44) 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 445984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

445984 is an abundant number, since it is smaller than the sum of its proper divisors (654752).

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

445984 is a wasteful number, since it uses less digits than its factorization.

445984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 445984 is about 667.8203351202. The cubic root of 445984 is about 76.4022988444.

The spelling of 445984 in words is "four hundred forty-five thousand, nine hundred eighty-four".