4002409 has 4 divisors (see below), whose sum is σ = 4006980. Its totient is φ = 3997840.

The previous prime is 4002403. The next prime is 4002431. The reversal of 4002409 is 9042004.

4002409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3790809 + 211600 = 1947^2 + 460^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002409 - 2⁷ = 4002281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4002403) 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 3 ways as a sum of consecutive naturals, for example, 514 + ... + 2875.

It is an arithmetic number, because the mean of its divisors is an integer number (1001745).

Almost surely, 2^4002409 is an apocalyptic number.

It is an amenable number.

4002409 is a deficient number, since it is larger than the sum of its proper divisors (4571).

4002409 is a wasteful number, since it uses less digits than its factorization.

4002409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4002409 is about 2000.6021593510. The cubic root of 4002409 is about 158.7719658778.

It can be divided in two parts, 400 and 2409, that added together give a square (2809 = 53²).

The spelling of 4002409 in words is "four million, two thousand, four hundred nine".