414124201 has 2 divisors, whose sum is σ = 414124202. Its totient is φ = 414124200.

The previous prime is 414124159. The next prime is 414124211. The reversal of 414124201 is 102421414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233356176 + 180768025 = 15276^2 + 13445^2 .

It is a cyclic number.

It is not a de Polignac number, because 414124201 - 2¹³ = 414116009 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414124211) 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, 207062100 + 207062101.

It is an arithmetic number, because the mean of its divisors is an integer number (207062101).

Almost surely, 2^414124201 is an apocalyptic number.

It is an amenable number.

414124201 is a deficient number, since it is larger than the sum of its proper divisors (1).

414124201 is an equidigital number, since it uses as much as digits as its factorization.

414124201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 414124201 is about 20350.0417935689. The cubic root of 414124201 is about 745.3785149194.

Adding to 414124201 its reverse (102421414), we get a palindrome (516545615).

The spelling of 414124201 in words is "four hundred fourteen million, one hundred twenty-four thousand, two hundred one".