414112001 has 2 divisors, whose sum is σ = 414112002. Its totient is φ = 414112000.

The previous prime is 414111979. The next prime is 414112031. The reversal of 414112001 is 100211414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 390102001 + 24010000 = 19751^2 + 4900^2 .

It is a cyclic number.

It is not a de Polignac number, because 414112001 - 2¹⁸ = 413849857 is a prime.

It is not a weakly prime, because it can be changed into another prime (414112031) 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, 207056000 + 207056001.

It is an arithmetic number, because the mean of its divisors is an integer number (207056001).

Almost surely, 2^414112001 is an apocalyptic number.

It is an amenable number.

414112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

414112001 is an equidigital number, since it uses as much as digits as its factorization.

414112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 414112001 is about 20349.7420376770. The cubic root of 414112001 is about 745.3711952899.

Adding to 414112001 its reverse (100211414), we get a palindrome (514323415).

The spelling of 414112001 in words is "four hundred fourteen million, one hundred twelve thousand, one".