409680306 has 48 divisors (see below), whose sum is σ = 1031659200. Its totient is φ = 115065504.

The previous prime is 409680289. The next prime is 409680311. The reversal of 409680306 is 603086904.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20121 + ... + 34988.

It is an arithmetic number, because the mean of its divisors is an integer number (21492900).

Almost surely, 2^409680306 is an apocalyptic number.

409680306 is an abundant number, since it is smaller than the sum of its proper divisors (621978894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409680306 is a wasteful number, since it uses less digits than its factorization.

409680306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55183 (or 55180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 409680306 is about 20240.5609112001. The cubic root of 409680306 is about 742.7027450285.

The spelling of 409680306 in words is "four hundred nine million, six hundred eighty thousand, three hundred six".