4039904 has 48 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1752960.

The previous prime is 4039901. The next prime is 4039949. The reversal of 4039904 is 4099304.

It is a happy number.

4039904 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a pancake number, because a pancake can be divided into 4039904 parts by 2842 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4039901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7847 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^4039904 is an apocalyptic number.

4039904 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 4039904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

4039904 is an abundant number, since it is smaller than the sum of its proper divisors (5032096).

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

4039904 is a wasteful number, since it uses less digits than its factorization.

4039904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 4039904 is about 2009.9512431897. The cubic root of 4039904 is about 159.2662233012.

The spelling of 4039904 in words is "four million, thirty-nine thousand, nine hundred four".