4084884 has 48 divisors (see below), whose sum is σ = 10718400. Its totient is φ = 1345248.

The previous prime is 4084859. The next prime is 4084891. The reversal of 4084884 is 4884804.

4084884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11599 + ... + 11945.

It is an arithmetic number, because the mean of its divisors is an integer number (223300).

Almost surely, 2^4084884 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 4084884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359200).

4084884 is an abundant number, since it is smaller than the sum of its proper divisors (6633516).

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

4084884 is a wasteful number, since it uses less digits than its factorization.

4084884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4084884 is about 2021.1095962367. The cubic root of 4084884 is about 159.8551292842.

The spelling of 4084884 in words is "four million, eighty-four thousand, eight hundred eighty-four".