414055309 has 2 divisors, whose sum is σ = 414055310. Its totient is φ = 414055308.

The previous prime is 414055307. The next prime is 414055337. The reversal of 414055309 is 903550414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 369792900 + 44262409 = 19230^2 + 6653^2 .

It is a cyclic number.

It is not a de Polignac number, because 414055309 - 2¹ = 414055307 is a prime.

It is a super-2 number, since 2×414055309² = 342883597822170962, which contains 22 as substring.

Together with 414055307, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414055307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207027654 + 207027655.

It is an arithmetic number, because the mean of its divisors is an integer number (207027655).

Almost surely, 2^414055309 is an apocalyptic number.

It is an amenable number.

414055309 is a deficient number, since it is larger than the sum of its proper divisors (1).

414055309 is an equidigital number, since it uses as much as digits as its factorization.

414055309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 414055309 is about 20348.3490485101. The cubic root of 414055309 is about 745.3371799251.

The spelling of 414055309 in words is "four hundred fourteen million, fifty-five thousand, three hundred nine".