468216288 has 84 divisors (see below), whose sum is σ = 1382137848. Its totient is φ = 156064320.

The previous prime is 468216283. The next prime is 468216299. The reversal of 468216288 is 882612864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468216283) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 13293 + ... + 33363.

It is an arithmetic number, because the mean of its divisors is an integer number (16454022).

Almost surely, 2^468216288 is an apocalyptic number.

468216288 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 468216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691068924).

468216288 is an abundant number, since it is smaller than the sum of its proper divisors (913921560).

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

468216288 is an equidigital number, since it uses as much as digits as its factorization.

468216288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20099 (or 20076 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 468216288 is about 21638.3060335138. The cubic root of 468216288 is about 776.5131936758.

The spelling of 468216288 in words is "four hundred sixty-eight million, two hundred sixteen thousand, two hundred eighty-eight".