409209471585 has 80 divisors (see below), whose sum is σ = 760330391040. Its totient is φ = 211203313920.

The previous prime is 409209471563. The next prime is 409209471589. The reversal of 409209471585 is 585174902904.

It is a happy number.

409209471585 is a `hidden beast` number, since 4 + 0 + 92 + 0 + 9 + 471 + 5 + 85 = 666.

It is not a de Polignac number, because 409209471585 - 2¹⁵ = 409209438817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409209471589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2983801 + ... + 3117929.

It is an arithmetic number, because the mean of its divisors is an integer number (9504129888).

Almost surely, 2^409209471585 is an apocalyptic number.

409209471585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409209471585 is a deficient number, since it is larger than the sum of its proper divisors (351120919455).

409209471585 is an frugal number, since it uses more digits than its factorization.

409209471585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134192 (or 134168 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 409209471585 in words is "four hundred nine billion, two hundred nine million, four hundred seventy-one thousand, five hundred eighty-five".