456468 has 12 divisors (see below), whose sum is σ = 1065120. Its totient is φ = 152152.

The previous prime is 456461. The next prime is 456499. The reversal of 456468 is 864654.

It is a happy number.

456468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×456468³ = 285333173614005696, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456461) 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, 19008 + ... + 19031.

It is an arithmetic number, because the mean of its divisors is an integer number (88760).

2⁴⁵⁶⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

456468 is an abundant number, since it is smaller than the sum of its proper divisors (608652).

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

456468 is a wasteful number, since it uses less digits than its factorization.

456468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38046 (or 38044 counting only the distinct ones).

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

The square root of 456468 is about 675.6241558737. The cubic root of 456468 is about 76.9963454723.

It can be divided in two parts, 45646 and 8, that added together give a palindrome (45654).

The spelling of 456468 in words is "four hundred fifty-six thousand, four hundred sixty-eight".