409600001 has 2 divisors, whose sum is σ = 409600002. Its totient is φ = 409600000.

The previous prime is 409599991. The next prime is 409600039. The reversal of 409600001 is 100006904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408040000 + 1560001 = 20200^2 + 1249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409600001 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (409500001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204800000 + 204800001.

It is an arithmetic number, because the mean of its divisors is an integer number (204800001).

It is a Proth number, since it is equal to 3125 ⋅ 2¹⁷ + 1 and 3125 < 2¹⁷.

Almost surely, 2^409600001 is an apocalyptic number.

It is an amenable number.

409600001 is a deficient number, since it is larger than the sum of its proper divisors (1).

409600001 is an equidigital number, since it uses as much as digits as its factorization.

409600001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 409600001 is about 20238.5770497829. The cubic root of 409600001 is about 742.6542139824.

Adding to 409600001 its reverse (100006904), we get a palindrome (509606905).

The spelling of 409600001 in words is "four hundred nine million, six hundred thousand, one".