414399409 has 2 divisors, whose sum is σ = 414399410. Its totient is φ = 414399408.

The previous prime is 414399407. The next prime is 414399431. The reversal of 414399409 is 904993414.

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., 375274384 + 39125025 = 19372^2 + 6255^2 .

It is a cyclic number.

It is not a de Polignac number, because 414399409 - 2¹ = 414399407 is a prime.

Together with 414399407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414399407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207199704 + 207199705.

It is an arithmetic number, because the mean of its divisors is an integer number (207199705).

Almost surely, 2^414399409 is an apocalyptic number.

It is an amenable number.

414399409 is a deficient number, since it is larger than the sum of its proper divisors (1).

414399409 is an equidigital number, since it uses as much as digits as its factorization.

414399409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 414399409 is about 20356.8025239722. The cubic root of 414399409 is about 745.5435931783.

The spelling of 414399409 in words is "four hundred fourteen million, three hundred ninety-nine thousand, four hundred nine".