456109309 has 2 divisors, whose sum is σ = 456109310. Its totient is φ = 456109308.

The previous prime is 456109271. The next prime is 456109331. The reversal of 456109309 is 903901654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 450373284 + 5736025 = 21222^2 + 2395^2 .

It is a cyclic number.

It is not a de Polignac number, because 456109309 - 2¹¹ = 456107261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456109109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228054654 + 228054655.

It is an arithmetic number, because the mean of its divisors is an integer number (228054655).

Almost surely, 2^456109309 is an apocalyptic number.

It is an amenable number.

456109309 is a deficient number, since it is larger than the sum of its proper divisors (1).

456109309 is an equidigital number, since it uses as much as digits as its factorization.

456109309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 456109309 is about 21356.7157821609. The cubic root of 456109309 is about 769.7617236531.

The spelling of 456109309 in words is "four hundred fifty-six million, one hundred nine thousand, three hundred nine".