468312 has 64 divisors (see below), whose sum is σ = 1344000. Its totient is φ = 134784.

The previous prime is 468289. The next prime is 468319. The reversal of 468312 is 213864.

It is a happy number.

It is a super-2 number, since 2×468312² = 438632258688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5889 + ... + 5967.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2⁴⁶⁸³¹² 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 468312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672000).

468312 is an abundant number, since it is smaller than the sum of its proper divisors (875688).

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

468312 is a wasteful number, since it uses less digits than its factorization.

468312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 468312 is about 684.3332521513. Note that the first 3 decimals coincide. The cubic root of 468312 is about 77.6566101252.

It can be divided in two parts, 468 and 312, that added together give a triangular number (780 = T₃₉).

The spelling of 468312 in words is "four hundred sixty-eight thousand, three hundred twelve".