456920089 has 2 divisors, whose sum is σ = 456920090. Its totient is φ = 456920088.

The previous prime is 456920077. The next prime is 456920099. The reversal of 456920089 is 980029654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275560000 + 181360089 = 16600^2 + 13467^2 .

It is a cyclic number.

It is not a de Polignac number, because 456920089 - 2¹⁹ = 456395801 is a prime.

It is not a weakly prime, because it can be changed into another prime (456920039) 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, 228460044 + 228460045.

It is an arithmetic number, because the mean of its divisors is an integer number (228460045).

Almost surely, 2^456920089 is an apocalyptic number.

It is an amenable number.

456920089 is a deficient number, since it is larger than the sum of its proper divisors (1).

456920089 is an equidigital number, since it uses as much as digits as its factorization.

456920089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 456920089 is about 21375.6892052631. The cubic root of 456920089 is about 770.2175631915.

The spelling of 456920089 in words is "four hundred fifty-six million, nine hundred twenty thousand, eighty-nine".