414685441 has 2 divisors, whose sum is σ = 414685442. Its totient is φ = 414685440.

The previous prime is 414685391. The next prime is 414685459. The reversal of 414685441 is 144586414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412943041 + 1742400 = 20321^2 + 1320^2 .

It is a cyclic number.

It is not a de Polignac number, because 414685441 - 2⁹ = 414684929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414685441.

It is not a weakly prime, because it can be changed into another prime (414685741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207342720 + 207342721.

It is an arithmetic number, because the mean of its divisors is an integer number (207342721).

Almost surely, 2^414685441 is an apocalyptic number.

It is an amenable number.

414685441 is a deficient number, since it is larger than the sum of its proper divisors (1).

414685441 is an equidigital number, since it uses as much as digits as its factorization.

414685441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 61440, while the sum is 37.

The square root of 414685441 is about 20363.8267769101. The cubic root of 414685441 is about 745.7150865695.

The spelling of 414685441 in words is "four hundred fourteen million, six hundred eighty-five thousand, four hundred forty-one".