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468 = 223213

468 has 18 divisors (see below), whose sum is σ = 1274. Its totient is φ = 144.

The previous prime is 467. The next prime is 479. The reversal of 468 is 864.

Subtracting from 468 its product of digits (192), we obtain a triangular number (276 = T23).

It can be divided in two parts, 4 and 68, that multiplied together give a palindrome (272).

468 is nontrivially palindromic in base 5.

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

It can be written as a sum of positive squares in only one way, i.e., 324 + 144 = 18^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

468 is a nontrivial repdigit in base 5.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 5, base 7, base 10 and base 14.

It is a nialpdrome in base 5, base 6 and base 12.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30 + ... + 42.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637).

468 is an abundant number, since it is smaller than the sum of its proper divisors (806).

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

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

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

The sum of its prime factors is 23 (or 18 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 468 is about 21.6333076528. The cubic root of 468 is about 7.7639360767.

The spelling of 468 in words is "four hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468