409406161 has 2 divisors, whose sum is σ = 409406162. Its totient is φ = 409406160.

The previous prime is 409406099. The next prime is 409406171. The reversal of 409406161 is 161604904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389825536 + 19580625 = 19744^2 + 4425^2 .

It is a cyclic number.

It is not a de Polignac number, because 409406161 - 2²¹ = 407309009 is a prime.

It is a super-2 number, since 2×409406161² = 335226809329515842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (409406171) 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 as a sum of consecutive naturals, namely, 204703080 + 204703081.

It is an arithmetic number, because the mean of its divisors is an integer number (204703081).

Almost surely, 2^409406161 is an apocalyptic number.

It is an amenable number.

409406161 is a deficient number, since it is larger than the sum of its proper divisors (1).

409406161 is an equidigital number, since it uses as much as digits as its factorization.

409406161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 409406161 is about 20233.7876088487. The cubic root of 409406161 is about 742.5370437292.

The spelling of 409406161 in words is "four hundred nine million, four hundred six thousand, one hundred sixty-one".