414115421 has 2 divisors, whose sum is σ = 414115422. Its totient is φ = 414115420.

The previous prime is 414115399. The next prime is 414115423. The reversal of 414115421 is 124511414.

414115421 = 14389² + 14390².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207072100 + 207043321 = 14390^2 + 14389^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414115421 is a prime.

Together with 414115423, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414115423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207057710 + 207057711.

It is an arithmetic number, because the mean of its divisors is an integer number (207057711).

Almost surely, 2^414115421 is an apocalyptic number.

414115421 is the 14390-th centered square number.

It is an amenable number.

414115421 is a deficient number, since it is larger than the sum of its proper divisors (1).

414115421 is an equidigital number, since it uses as much as digits as its factorization.

414115421 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 640, while the sum is 23.

The square root of 414115421 is about 20349.8260680528. The cubic root of 414115421 is about 745.3732472005.

Adding to 414115421 its reverse (124511414), we get a palindrome (538626835).

The spelling of 414115421 in words is "four hundred fourteen million, one hundred fifteen thousand, four hundred twenty-one".