456116 has 12 divisors (see below), whose sum is σ = 806820. Its totient is φ = 225600.

The previous prime is 456109. The next prime is 456119. The reversal of 456116 is 611654.

456116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 250000 + 206116 = 500^2 + 454^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 456091 and 456100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456116.

It is not an unprimeable number, because it can be changed into a prime (456119) by changing a digit.

456116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (67235).

2⁴⁵⁶¹¹⁶ is an apocalyptic number.

It is an amenable number.

456116 is a deficient number, since it is larger than the sum of its proper divisors (350704).

456116 is a wasteful number, since it uses less digits than its factorization.

456116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1232 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 456116 is about 675.3636057710. The cubic root of 456116 is about 76.9765487700.

The spelling of 456116 in words is "four hundred fifty-six thousand, one hundred sixteen".