4084268409 has 24 divisors (see below), whose sum is σ = 6360229512. Its totient is φ = 2510657280.

The previous prime is 4084268393. The next prime is 4084268449. The reversal of 4084268409 is 9048624804.

It can be written as a sum of positive squares in 4 ways, for example, as 39690000 + 4044578409 = 6300^2 + 63597^2 .

It is not a de Polignac number, because 4084268409 - 2⁴ = 4084268393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4084268449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91549 + ... + 128645.

It is an arithmetic number, because the mean of its divisors is an integer number (265009563).

Almost surely, 2^4084268409 is an apocalyptic number.

It is an amenable number.

4084268409 is a deficient number, since it is larger than the sum of its proper divisors (2275961103).

4084268409 is a wasteful number, since it uses less digits than its factorization.

4084268409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38057 (or 38054 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4084268409 is about 63908.2812239541. The cubic root of 4084268409 is about 1598.4709883812.

The spelling of 4084268409 in words is "four billion, eighty-four million, two hundred sixty-eight thousand, four hundred nine".