456876 has 72 divisors (see below), whose sum is σ = 1383200. Its totient is φ = 127008.

The previous prime is 456871. The next prime is 456877. The reversal of 456876 is 678654.

It is a happy number.

456876 is nontrivially palindromic in base 11.

456876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 456876.

It is not an unprimeable number, because it can be changed into a prime (456871) by changing a digit.

456876 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 12330 + ... + 12366.

2⁴⁵⁶⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691600).

456876 is an abundant number, since it is smaller than the sum of its proper divisors (926324).

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

456876 is a wasteful number, since it uses less digits than its factorization.

456876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 456876 is about 675.9260314561. The cubic root of 456876 is about 77.0192789192.

The spelling of 456876 in words is "four hundred fifty-six thousand, eight hundred seventy-six".