456508141 has 2 divisors, whose sum is σ = 456508142. Its totient is φ = 456508140.

The previous prime is 456508127. The next prime is 456508159. The reversal of 456508141 is 141805654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303491241 + 153016900 = 17421^2 + 12370^2 .

It is a cyclic number.

It is not a de Polignac number, because 456508141 - 2¹³ = 456499949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456508097 and 456508106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456508441) 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, 228254070 + 228254071.

It is an arithmetic number, because the mean of its divisors is an integer number (228254071).

Almost surely, 2^456508141 is an apocalyptic number.

It is an amenable number.

456508141 is a deficient number, since it is larger than the sum of its proper divisors (1).

456508141 is an equidigital number, since it uses as much as digits as its factorization.

456508141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 456508141 is about 21366.0511325795. The cubic root of 456508141 is about 769.9860238088.

The spelling of 456508141 in words is "four hundred fifty-six million, five hundred eight thousand, one hundred forty-one".