409303161 has 6 divisors (see below), whose sum is σ = 591215690. Its totient is φ = 272868768.

The previous prime is 409303133. The next prime is 409303211. The reversal of 409303161 is 161303904.

It can be written as a sum of positive squares in only one way, i.e., 363131136 + 46172025 = 19056^2 + 6795^2 .

It is not a de Polignac number, because 409303161 - 2¹³ = 409294969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409303061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22739056 + ... + 22739073.

Almost surely, 2^409303161 is an apocalyptic number.

It is an amenable number.

409303161 is a deficient number, since it is larger than the sum of its proper divisors (181912529).

409303161 is a wasteful number, since it uses less digits than its factorization.

409303161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45478135 (or 45478132 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 409303161 is about 20231.2422011106. The cubic root of 409303161 is about 742.4747683838.

The spelling of 409303161 in words is "four hundred nine million, three hundred three thousand, one hundred sixty-one".