456300161 has 8 divisors (see below), whose sum is σ = 466602984. Its totient is φ = 446060160.

The previous prime is 456300157. The next prime is 456300199. The reversal of 456300161 is 161003654.

It can be written as a sum of positive squares in 4 ways, for example, as 22619536 + 433680625 = 4756^2 + 20825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456300161 - 2² = 456300157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456300161.

It is not an unprimeable number, because it can be changed into a prime (456300101) 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 in 7 ways as a sum of consecutive naturals, for example, 860 + ... + 30221.

It is an arithmetic number, because the mean of its divisors is an integer number (58325373).

Almost surely, 2^456300161 is an apocalyptic number.

It is an amenable number.

456300161 is a deficient number, since it is larger than the sum of its proper divisors (10302823).

456300161 is a wasteful number, since it uses less digits than its factorization.

456300161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31411.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 456300161 is about 21361.1835112196. The cubic root of 456300161 is about 769.8690737083.

The spelling of 456300161 in words is "four hundred fifty-six million, three hundred thousand, one hundred sixty-one".