414413401 has 2 divisors, whose sum is σ = 414413402. Its totient is φ = 414413400.

The previous prime is 414413399. The next prime is 414413411. The reversal of 414413401 is 104314414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 370177600 + 44235801 = 19240^2 + 6651^2 .

It is a cyclic number.

It is not a de Polignac number, because 414413401 - 2¹ = 414413399 is a prime.

Together with 414413399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414413411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207206700 + 207206701.

It is an arithmetic number, because the mean of its divisors is an integer number (207206701).

Almost surely, 2^414413401 is an apocalyptic number.

It is an amenable number.

414413401 is a deficient number, since it is larger than the sum of its proper divisors (1).

414413401 is an equidigital number, since it uses as much as digits as its factorization.

414413401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 414413401 is about 20357.1461899747. The cubic root of 414413401 is about 745.5519840594.

Adding to 414413401 its reverse (104314414), we get a palindrome (518727815).

The spelling of 414413401 in words is "four hundred fourteen million, four hundred thirteen thousand, four hundred one".