456045181 has 2 divisors, whose sum is σ = 456045182. Its totient is φ = 456045180.

The previous prime is 456045157. The next prime is 456045203. The reversal of 456045181 is 181540654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394657956 + 61387225 = 19866^2 + 7835^2 .

It is a cyclic number.

It is not a de Polignac number, because 456045181 - 2²¹ = 453948029 is a prime.

It is a super-2 number, since 2×456045181² = 415954414226645522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456045101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228022590 + 228022591.

It is an arithmetic number, because the mean of its divisors is an integer number (228022591).

Almost surely, 2^456045181 is an apocalyptic number.

It is an amenable number.

456045181 is a deficient number, since it is larger than the sum of its proper divisors (1).

456045181 is an equidigital number, since it uses as much as digits as its factorization.

456045181 is an evil number, because the sum of its binary digits is even.

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

The square root of 456045181 is about 21355.2143749483. The cubic root of 456045181 is about 769.7256463412.

The spelling of 456045181 in words is "four hundred fifty-six million, forty-five thousand, one hundred eighty-one".