4201984 has 40 divisors (see below), whose sum is σ = 8715960. Its totient is φ = 2021376.

The previous prime is 4201969. The next prime is 4202017. The reversal of 4201984 is 4891024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14707 + ... + 14989.

It is an arithmetic number, because the mean of its divisors is an integer number (217899).

Almost surely, 2^4201984 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 4201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357980).

4201984 is an abundant number, since it is smaller than the sum of its proper divisors (4513976).

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

4201984 is an equidigital number, since it uses as much as digits as its factorization.

4201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 4201984 is about 2049.8741424780. The cubic root of 4201984 is about 161.3682657019.

The spelling of 4201984 in words is "four million, two hundred one thousand, nine hundred eighty-four".