413091009 has 24 divisors (see below), whose sum is σ = 622308960. Its totient is φ = 273826656.

The previous prime is 413090969. The next prime is 413091011. The reversal of 413091009 is 900190314.

It is not a de Polignac number, because 413091009 - 2⁸ = 413090753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413091409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38749 + ... + 48245.

It is an arithmetic number, because the mean of its divisors is an integer number (25929540).

Almost surely, 2^413091009 is an apocalyptic number.

It is an amenable number.

413091009 is a deficient number, since it is larger than the sum of its proper divisors (209217951).

413091009 is an equidigital number, since it uses as much as digits as its factorization.

413091009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9691 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 413091009 is about 20324.6404396240. The cubic root of 413091009 is about 744.7581209582.

The spelling of 413091009 in words is "four hundred thirteen million, ninety-one thousand, nine".