456322673 has 2 divisors, whose sum is σ = 456322674. Its totient is φ = 456322672.

The previous prime is 456322631. The next prime is 456322693. The reversal of 456322673 is 376223654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 386633569 + 69689104 = 19663^2 + 8348^2 .

It is a cyclic number.

It is not a de Polignac number, because 456322673 - 2⁸ = 456322417 is a prime.

It is a super-3 number, since 3×456322673³ (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (456322613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228161336 + 228161337.

It is an arithmetic number, because the mean of its divisors is an integer number (228161337).

Almost surely, 2^456322673 is an apocalyptic number.

It is an amenable number.

456322673 is a deficient number, since it is larger than the sum of its proper divisors (1).

456322673 is an equidigital number, since it uses as much as digits as its factorization.

456322673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 38.

The square root of 456322673 is about 21361.7104418162. The cubic root of 456322673 is about 769.8817342397.

The spelling of 456322673 in words is "four hundred fifty-six million, three hundred twenty-two thousand, six hundred seventy-three".