414413501 has 2 divisors, whose sum is σ = 414413502. Its totient is φ = 414413500.

The previous prime is 414413479. The next prime is 414413507. The reversal of 414413501 is 105314414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413308900 + 1104601 = 20330^2 + 1051^2 .

It is a cyclic number.

It is not a de Polignac number, because 414413501 - 2²⁶ = 347304637 is a prime.

It is a super-2 number, since 2×414413501² = 343477099622154002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414413507) 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, 207206750 + 207206751.

It is an arithmetic number, because the mean of its divisors is an integer number (207206751).

Almost surely, 2^414413501 is an apocalyptic number.

It is an amenable number.

414413501 is a deficient number, since it is larger than the sum of its proper divisors (1).

414413501 is an equidigital number, since it uses as much as digits as its factorization.

414413501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 414413501 is about 20357.1486461145. The cubic root of 414413501 is about 745.5520440279.

Adding to 414413501 its reverse (105314414), we get a palindrome (519727915).

The spelling of 414413501 in words is "four hundred fourteen million, four hundred thirteen thousand, five hundred one".