414004309 has 2 divisors, whose sum is σ = 414004310. Its totient is φ = 414004308.

The previous prime is 414004289. The next prime is 414004361. The reversal of 414004309 is 903400414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 387223684 + 26780625 = 19678^2 + 5175^2 .

It is a cyclic number.

It is not a de Polignac number, because 414004309 - 2¹³ = 413996117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414004369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207002154 + 207002155.

It is an arithmetic number, because the mean of its divisors is an integer number (207002155).

Almost surely, 2^414004309 is an apocalyptic number.

It is an amenable number.

414004309 is a deficient number, since it is larger than the sum of its proper divisors (1).

414004309 is an equidigital number, since it uses as much as digits as its factorization.

414004309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 414004309 is about 20347.0958369985. The cubic root of 414004309 is about 745.3065771239.

The spelling of 414004309 in words is "four hundred fourteen million, four thousand, three hundred nine".