468288 has 56 divisors (see below), whose sum is σ = 1381760. Its totient is φ = 155520.

The previous prime is 468277. The next prime is 468289. The reversal of 468288 is 882864.

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

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

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 468288.

It is not an unprimeable number, because it can be changed into a prime (468289) by changing a digit.

468288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1593 + ... + 1863.

2⁴⁶⁸²⁸⁸ is an apocalyptic number.

468288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690880).

468288 is an abundant number, since it is smaller than the sum of its proper divisors (913472).

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

468288 is a wasteful number, since it uses less digits than its factorization.

468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 468288 is about 684.3157166104. The cubic root of 468288 is about 77.6552835235.

The spelling of 468288 in words is "four hundred sixty-eight thousand, two hundred eighty-eight".