4485984 has 48 divisors (see below), whose sum is σ = 11938752. Its totient is φ = 1474688.

The previous prime is 4485983. The next prime is 4485997. The reversal of 4485984 is 4895844.

4485984 = 702² + 703² + ... + 710².

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4485983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7687 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (248724).

Almost surely, 2^4485984 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 4485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969376).

4485984 is an abundant number, since it is smaller than the sum of its proper divisors (7452768).

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

4485984 is a wasteful number, since it uses less digits than its factorization.

4485984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 4485984 is about 2118.0141642586. The cubic root of 4485984 is about 164.9247774656.

The spelling of 4485984 in words is "four million, four hundred eighty-five thousand, nine hundred eighty-four".