4209984 has 42 divisors (see below), whose sum is σ = 12068810. Its totient is φ = 1403136.

The previous prime is 4209979. The next prime is 4209991. The reversal of 4209984 is 4899024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 705600 = 1872^2 + 840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3079 + ... + 4230.

Almost surely, 2^4209984 is an apocalyptic number.

It is an amenable number.

4209984 is an abundant number, since it is smaller than the sum of its proper divisors (7858826).

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

4209984 is a wasteful number, since it uses less digits than its factorization.

4209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4209984 is about 2051.8245539032. The cubic root of 4209984 is about 161.4706084468.

It can be divided in two parts, 420 and 9984, that added together give a square (10404 = 102²).

The spelling of 4209984 in words is "four million, two hundred nine thousand, nine hundred eighty-four".