456846 has 16 divisors (see below), whose sum is σ = 984144. Its totient is φ = 140544.

The previous prime is 456821. The next prime is 456871. The reversal of 456846 is 648654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456821) and next prime (456871).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2851 + ... + 3006.

It is an arithmetic number, because the mean of its divisors is an integer number (61509).

2⁴⁵⁶⁸⁴⁶ is an apocalyptic number.

456846 is an abundant number, since it is smaller than the sum of its proper divisors (527298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456846 is a wasteful number, since it uses less digits than its factorization.

456846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875.

The product of its digits is 23040, while the sum is 33.

The square root of 456846 is about 675.9038393144. The cubic root of 456846 is about 77.0175931015.

The spelling of 456846 in words is "four hundred fifty-six thousand, eight hundred forty-six".