409993201 has 2 divisors, whose sum is σ = 409993202. Its totient is φ = 409993200.

The previous prime is 409993141. The next prime is 409993217. The reversal of 409993201 is 102399904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306950400 + 103042801 = 17520^2 + 10151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409993201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (409993501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204996600 + 204996601.

It is an arithmetic number, because the mean of its divisors is an integer number (204996601).

Almost surely, 2^409993201 is an apocalyptic number.

It is an amenable number.

409993201 is a deficient number, since it is larger than the sum of its proper divisors (1).

409993201 is an equidigital number, since it uses as much as digits as its factorization.

409993201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 409993201 is about 20248.2888412824. The cubic root of 409993201 is about 742.8917776593.

The spelling of 409993201 in words is "four hundred nine million, nine hundred ninety-three thousand, two hundred one".