456406609 has 2 divisors, whose sum is σ = 456406610. Its totient is φ = 456406608.

The previous prime is 456406591. The next prime is 456406627. The reversal of 456406609 is 906604654.

It is a balanced prime because it is at equal distance from previous prime (456406591) and next prime (456406627).

It can be written as a sum of positive squares in only one way, i.e., 322310209 + 134096400 = 17953^2 + 11580^2 .

It is a cyclic number.

It is not a de Polignac number, because 456406609 - 2⁷ = 456406481 is a prime.

It is not a weakly prime, because it can be changed into another prime (456406649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228203304 + 228203305.

It is an arithmetic number, because the mean of its divisors is an integer number (228203305).

Almost surely, 2^456406609 is an apocalyptic number.

It is an amenable number.

456406609 is a deficient number, since it is larger than the sum of its proper divisors (1).

456406609 is an equidigital number, since it uses as much as digits as its factorization.

456406609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 456406609 is about 21363.6749881662. The cubic root of 456406609 is about 769.9289353654.

The spelling of 456406609 in words is "four hundred fifty-six million, four hundred six thousand, six hundred nine".