8456409 has 12 divisors (see below), whose sum is σ = 13154596. Its totient is φ = 5203872.

The previous prime is 8456389. The next prime is 8456417. The reversal of 8456409 is 9046548.

8456409 is a `hidden beast` number, since 8 + 4 + 5 + 640 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 3790809 = 2160^2 + 1947^2 .

It is not a de Polignac number, because 8456409 - 2⁸ = 8456153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8456419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36022 + ... + 36255.

Almost surely, 2^8456409 is an apocalyptic number.

It is an amenable number.

8456409 is a deficient number, since it is larger than the sum of its proper divisors (4698187).

8456409 is a wasteful number, since it uses less digits than its factorization.

8456409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72296 (or 72293 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8456409 is about 2907.9905433134. The cubic root of 8456409 is about 203.7332875499.

The spelling of 8456409 in words is "eight million, four hundred fifty-six thousand, four hundred nine".