409306641 has 8 divisors (see below), whose sum is σ = 551145984. Its totient is φ = 270169200.

The previous prime is 409306633. The next prime is 409306669. The reversal of 409306641 is 146603904.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 409306641 - 2³ = 409306633 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409306741) 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 7 ways as a sum of consecutive naturals, for example, 675121 + ... + 675726.

It is an arithmetic number, because the mean of its divisors is an integer number (68893248).

Almost surely, 2^409306641 is an apocalyptic number.

It is an amenable number.

409306641 is a deficient number, since it is larger than the sum of its proper divisors (141839343).

409306641 is a wasteful number, since it uses less digits than its factorization.

409306641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350951.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 409306641 is about 20231.3282065217. The cubic root of 409306641 is about 742.4768726146.

The spelling of 409306641 in words is "four hundred nine million, three hundred six thousand, six hundred forty-one".