4009984 has 52 divisors (see below), whose sum is σ = 8846280. Its totient is φ = 1802240.

The previous prime is 4009939. The next prime is 4009991. The reversal of 4009984 is 4899004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45012 + ... + 45100.

Almost surely, 2^4009984 is an apocalyptic number.

4009984 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 4009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423140).

4009984 is an abundant number, since it is smaller than the sum of its proper divisors (4836296).

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

4009984 is an equidigital number, since it uses as much as digits as its factorization.

4009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 4009984 is about 2002.4944444367. The cubic root of 4009984 is about 158.8720672328.

The spelling of 4009984 in words is "four million, nine thousand, nine hundred eighty-four".