414144413 has 2 divisors, whose sum is σ = 414144414. Its totient is φ = 414144412.

The previous prime is 414144391. The next prime is 414144443. The reversal of 414144413 is 314441414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408565369 + 5579044 = 20213^2 + 2362^2 .

It is a cyclic number.

It is not a de Polignac number, because 414144413 - 2¹⁸ = 413882269 is a prime.

It is a super-2 number, since 2×414144413² = 343031189638229138, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414144443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207072206 + 207072207.

It is an arithmetic number, because the mean of its divisors is an integer number (207072207).

Almost surely, 2^414144413 is an apocalyptic number.

It is an amenable number.

414144413 is a deficient number, since it is larger than the sum of its proper divisors (1).

414144413 is an equidigital number, since it uses as much as digits as its factorization.

414144413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3072, while the sum is 26.

The square root of 414144413 is about 20350.5383958263. The cubic root of 414144413 is about 745.3906411892.

Adding to 414144413 its reverse (314441414), we get a palindrome (728585827).

The spelling of 414144413 in words is "four hundred fourteen million, one hundred forty-four thousand, four hundred thirteen".