414032413 has 2 divisors, whose sum is σ = 414032414. Its totient is φ = 414032412.

The previous prime is 414032357. The next prime is 414032459. The reversal of 414032413 is 314230414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289442169 + 124590244 = 17013^2 + 11162^2 .

It is a cyclic number.

It is not a de Polignac number, because 414032413 - 2²¹ = 411935261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414032483) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207016206 + 207016207.

It is an arithmetic number, because the mean of its divisors is an integer number (207016207).

Almost surely, 2^414032413 is an apocalyptic number.

It is an amenable number.

414032413 is a deficient number, since it is larger than the sum of its proper divisors (1).

414032413 is an equidigital number, since it uses as much as digits as its factorization.

414032413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 414032413 is about 20347.7864398072. The cubic root of 414032413 is about 745.3234413784.

Adding to 414032413 its reverse (314230414), we get a palindrome (728262827).

The spelling of 414032413 in words is "four hundred fourteen million, thirty-two thousand, four hundred thirteen".