456112 has 20 divisors (see below), whose sum is σ = 915120. Its totient is φ = 219968.

The previous prime is 456109. The next prime is 456119. The reversal of 456112 is 211654.

It is a self number, because there is not a number n which added to its sum of digits gives 456112.

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

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 3 ways as a sum of consecutive naturals, for example, 28 + ... + 955.

It is an arithmetic number, because the mean of its divisors is an integer number (45756).

2⁴⁵⁶¹¹² is an apocalyptic number.

It is an amenable number.

456112 is an abundant number, since it is smaller than the sum of its proper divisors (459008).

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

456112 is a wasteful number, since it uses less digits than its factorization.

456112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 456112 is about 675.3606443968. The cubic root of 456112 is about 76.9763237490.

Adding to 456112 its reverse (211654), we get a palindrome (667766).

The spelling of 456112 in words is "four hundred fifty-six thousand, one hundred twelve".