4149904 has 80 divisors (see below), whose sum is σ = 9910080. Its totient is φ = 1658880.

The previous prime is 4149889. The next prime is 4149907. The reversal of 4149904 is 4099414.

4149904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4149907) 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 15 ways as a sum of consecutive naturals, for example, 56812 + ... + 56884.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

Almost surely, 2^4149904 is an apocalyptic number.

4149904 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 4149904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955040).

4149904 is an abundant number, since it is smaller than the sum of its proper divisors (5760176).

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

4149904 is a wasteful number, since it uses less digits than its factorization.

4149904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4149904 is about 2037.1313163368. The cubic root of 4149904 is about 160.6988183868.

The spelling of 4149904 in words is "four million, one hundred forty-nine thousand, nine hundred four".