456166 has 8 divisors (see below), whose sum is σ = 701064. Its totient is φ = 222480.

The previous prime is 456151. The next prime is 456167. The reversal of 456166 is 661654.

456166 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456167) 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 3 ways as a sum of consecutive naturals, for example, 2700 + ... + 2863.

It is an arithmetic number, because the mean of its divisors is an integer number (87633).

2⁴⁵⁶¹⁶⁶ is an apocalyptic number.

456166 is a deficient number, since it is larger than the sum of its proper divisors (244898).

456166 is a wasteful number, since it uses less digits than its factorization.

456166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606.

The product of its digits is 4320, while the sum is 28.

The square root of 456166 is about 675.4006218534. The cubic root of 456166 is about 76.9793614221.

The spelling of 456166 in words is "four hundred fifty-six thousand, one hundred sixty-six".