8540409 has 16 divisors (see below), whose sum is σ = 12147840. Its totient is φ = 5318400.

The previous prime is 8540401. The next prime is 8540431. The reversal of 8540409 is 9040458.

It is not a de Polignac number, because 8540409 - 2³ = 8540401 is a prime.

It is an Ulam number.

8540409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8540401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7147 + ... + 8255.

It is an arithmetic number, because the mean of its divisors is an integer number (759240).

Almost surely, 2^8540409 is an apocalyptic number.

It is an amenable number.

8540409 is a deficient number, since it is larger than the sum of its proper divisors (3607431).

8540409 is a wasteful number, since it uses less digits than its factorization.

8540409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8540409 is about 2922.3978168620. The cubic root of 8540409 is about 204.4056470982.

The spelling of 8540409 in words is "eight million, five hundred forty thousand, four hundred nine".