456114809 has 2 divisors, whose sum is σ = 456114810. Its totient is φ = 456114808.

The previous prime is 456114793. The next prime is 456114821. The reversal of 456114809 is 908411654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 427331584 + 28783225 = 20672^2 + 5365^2 .

It is a cyclic number.

It is not a de Polignac number, because 456114809 - 2⁴ = 456114793 is a prime.

It is not a weakly prime, because it can be changed into another prime (456113809) 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, 228057404 + 228057405.

It is an arithmetic number, because the mean of its divisors is an integer number (228057405).

Almost surely, 2^456114809 is an apocalyptic number.

It is an amenable number.

456114809 is a deficient number, since it is larger than the sum of its proper divisors (1).

456114809 is an equidigital number, since it uses as much as digits as its factorization.

456114809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 456114809 is about 21356.8445468894. The cubic root of 456114809 is about 769.7648177013.

The spelling of 456114809 in words is "four hundred fifty-six million, one hundred fourteen thousand, eight hundred nine".