427952009 has 2 divisors, whose sum is σ = 427952010. Its totient is φ = 427952008.

The previous prime is 427951963. The next prime is 427952011. The reversal of 427952009 is 900259724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271326784 + 156625225 = 16472^2 + 12515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-427952009 is a prime.

Together with 427952011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (427952059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213976004 + 213976005.

It is an arithmetic number, because the mean of its divisors is an integer number (213976005).

Almost surely, 2^427952009 is an apocalyptic number.

It is an amenable number.

427952009 is a deficient number, since it is larger than the sum of its proper divisors (1).

427952009 is an equidigital number, since it uses as much as digits as its factorization.

427952009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 427952009 is about 20687.0009667907. Note that the first 3 decimals coincide. The cubic root of 427952009 is about 753.5840361499.

The spelling of 427952009 in words is "four hundred twenty-seven million, nine hundred fifty-two thousand, nine".