468456 has 32 divisors (see below), whose sum is σ = 1188000. Its totient is φ = 153920.

The previous prime is 468451. The next prime is 468463. The reversal of 468456 is 654864.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (468451) by changing a digit.

468456 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 7 ways as a sum of consecutive naturals, for example, 3070 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (37125).

2⁴⁶⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

468456 is an abundant number, since it is smaller than the sum of its proper divisors (719544).

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

468456 is a wasteful number, since it uses less digits than its factorization.

468456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

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

The square root of 468456 is about 684.4384559623. The cubic root of 468456 is about 77.6645687838.

The spelling of 468456 in words is "four hundred sixty-eight thousand, four hundred fifty-six".