471993209 has 2 divisors, whose sum is σ = 471993210. Its totient is φ = 471993208.

The previous prime is 471993191. The next prime is 471993211. The reversal of 471993209 is 902399174.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405619600 + 66373609 = 20140^2 + 8147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-471993209 is a prime.

Together with 471993211, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 471993209.

It is not a weakly prime, because it can be changed into another prime (471993239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 235996604 + 235996605.

It is an arithmetic number, because the mean of its divisors is an integer number (235996605).

Almost surely, 2^471993209 is an apocalyptic number.

It is an amenable number.

471993209 is a deficient number, since it is larger than the sum of its proper divisors (1).

471993209 is an equidigital number, since it uses as much as digits as its factorization.

471993209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 471993209 is about 21725.4046912825. The cubic root of 471993209 is about 778.5955490694.

The spelling of 471993209 in words is "four hundred seventy-one million, nine hundred ninety-three thousand, two hundred nine".