456012 has 36 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 148512.

The previous prime is 456007. The next prime is 456013. The reversal of 456012 is 210654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456012.

It is not an unprimeable number, because it can be changed into a prime (456013) 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 11 ways as a sum of consecutive naturals, for example, 1789 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁵⁶⁰¹² 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 456012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

456012 is an abundant number, since it is smaller than the sum of its proper divisors (723348).

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

456012 is a wasteful number, since it uses less digits than its factorization.

456012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 456012 is about 675.2866058201. The cubic root of 456012 is about 76.9706977953.

Adding to 456012 its reverse (210654), we get a palindrome (666666).

The spelling of 456012 in words is "four hundred fifty-six thousand, twelve".