456431749 has 2 divisors, whose sum is σ = 456431750. Its totient is φ = 456431748.

The previous prime is 456431687. The next prime is 456431753. The reversal of 456431749 is 947134654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429235524 + 27196225 = 20718^2 + 5215^2 .

It is a cyclic number.

It is not a de Polignac number, because 456431749 - 2⁹ = 456431237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456431449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228215874 + 228215875.

It is an arithmetic number, because the mean of its divisors is an integer number (228215875).

Almost surely, 2^456431749 is an apocalyptic number.

It is an amenable number.

456431749 is a deficient number, since it is larger than the sum of its proper divisors (1).

456431749 is an equidigital number, since it uses as much as digits as its factorization.

456431749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 43.

The square root of 456431749 is about 21364.2633619790. The cubic root of 456431749 is about 769.9430716331.

The spelling of 456431749 in words is "four hundred fifty-six million, four hundred thirty-one thousand, seven hundred forty-nine".