409086009 has 6 divisors (see below), whose sum is σ = 590902026. Its totient is φ = 272724000.

The previous prime is 409085969. The next prime is 409086019. The reversal of 409086009 is 900680904.

409086009 is a `hidden beast` number, since 40 + 9 + 0 + 8 + 600 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404010000 + 5076009 = 20100^2 + 2253^2 .

It is not a de Polignac number, because 409086009 - 2⁸ = 409085753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409086019) 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 5 ways as a sum of consecutive naturals, for example, 22726992 + ... + 22727009.

It is an arithmetic number, because the mean of its divisors is an integer number (98483671).

Almost surely, 2^409086009 is an apocalyptic number.

It is an amenable number.

409086009 is a deficient number, since it is larger than the sum of its proper divisors (181816017).

409086009 is a wasteful number, since it uses less digits than its factorization.

409086009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45454007 (or 45454004 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 409086009 is about 20225.8747400452. The cubic root of 409086009 is about 742.3434407863.

The spelling of 409086009 in words is "four hundred nine million, eighty-six thousand, nine".