414400009 has 2 divisors, whose sum is σ = 414400010. Its totient is φ = 414400008.

The previous prime is 414400001. The next prime is 414400031. The reversal of 414400009 is 900004414.

It is a happy number.

It is an a-pointer prime, because the next prime (414400031) can be obtained adding 414400009 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 414326025 + 73984 = 20355^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 414400009 - 2³ = 414400001 is a prime.

It is not a weakly prime, because it can be changed into another prime (414400001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207200004 + 207200005.

It is an arithmetic number, because the mean of its divisors is an integer number (207200005).

Almost surely, 2^414400009 is an apocalyptic number.

It is an amenable number.

414400009 is a deficient number, since it is larger than the sum of its proper divisors (1).

414400009 is an equidigital number, since it uses as much as digits as its factorization.

414400009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 414400009 is about 20356.8172610553. The cubic root of 414400009 is about 745.5439529969.

The spelling of 414400009 in words is "four hundred fourteen million, four hundred thousand, nine".