456891 has 4 divisors (see below), whose sum is σ = 609192. Its totient is φ = 304592.

The previous prime is 456881. The next prime is 456899. The reversal of 456891 is 198654.

456891 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 456891 - 2⁷ = 456763 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (456899) 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, 76146 + ... + 76151.

It is an arithmetic number, because the mean of its divisors is an integer number (152298).

2⁴⁵⁶⁸⁹¹ is an apocalyptic number.

456891 is the 428-th centered pentagonal number.

456891 is a deficient number, since it is larger than the sum of its proper divisors (152301).

456891 is a wasteful number, since it uses less digits than its factorization.

456891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152300.

The product of its digits is 8640, while the sum is 33.

The square root of 456891 is about 675.9371272537. The cubic root of 456891 is about 77.0201218004.

The spelling of 456891 in words is "four hundred fifty-six thousand, eight hundred ninety-one".