404100001 has 2 divisors, whose sum is σ = 404100002. Its totient is φ = 404100000.

The previous prime is 404099989. The next prime is 404100017. The reversal of 404100001 is 100001404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389667600 + 14432401 = 19740^2 + 3799^2 .

It is a cyclic number.

It is not a de Polignac number, because 404100001 - 2⁷ = 404099873 is a prime.

It is not a weakly prime, because it can be changed into another prime (404100071) 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 as a sum of consecutive naturals, namely, 202050000 + 202050001.

It is an arithmetic number, because the mean of its divisors is an integer number (202050001).

Almost surely, 2^404100001 is an apocalyptic number.

It is an amenable number.

404100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

404100001 is an equidigital number, since it uses as much as digits as its factorization.

404100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 404100001 is about 20102.2387061740. The cubic root of 404100001 is about 739.3151693186.

Adding to 404100001 its reverse (100001404), we get a palindrome (504101405).

It can be divided in two parts, 404 and 100001, that multiplied together give a palindrome (40400404).

The spelling of 404100001 in words is "four hundred four million, one hundred thousand, one".