417901009 has 2 divisors, whose sum is σ = 417901010. Its totient is φ = 417901008.

The previous prime is 417900997. The next prime is 417901037. The reversal of 417901009 is 900109714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218300625 + 199600384 = 14775^2 + 14128^2 .

It is a cyclic number.

It is not a de Polignac number, because 417901009 - 2¹⁹ = 417376721 is a prime.

It is not a weakly prime, because it can be changed into another prime (417901039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208950504 + 208950505.

It is an arithmetic number, because the mean of its divisors is an integer number (208950505).

Almost surely, 2^417901009 is an apocalyptic number.

It is an amenable number.

417901009 is a deficient number, since it is larger than the sum of its proper divisors (1).

417901009 is an equidigital number, since it uses as much as digits as its factorization.

417901009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 417901009 is about 20442.6272528753. The cubic root of 417901009 is about 747.6376089949.

The spelling of 417901009 in words is "four hundred seventeen million, nine hundred one thousand, nine".