468468 has 108 divisors (see below), whose sum is σ = 1598688. Its totient is φ = 112320.

The previous prime is 468463. The next prime is 468473. The reversal of 468468 is 864864.

It is an interprime number because it is at equal distance from previous prime (468463) and next prime (468473).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36864) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468468.

It is not an unprimeable number, because it can be changed into a prime (468463) 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 35 ways as a sum of consecutive naturals, for example, 36030 + ... + 36042.

2⁴⁶⁸⁴⁶⁸ 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 468468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799344).

468468 is an abundant number, since it is smaller than the sum of its proper divisors (1130220).

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

468468 is a wasteful number, since it uses less digits than its factorization.

468468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 468468 is about 684.4472222166. The cubic root of 468468 is about 77.6652319317.

The spelling of 468468 in words is "four hundred sixty-eight thousand, four hundred sixty-eight".