218443008 has 144 divisors (see below), whose sum is σ = 671086080. Its totient is φ = 61790208.

The previous prime is 218443003. The next prime is 218443009. The reversal of 218443008 is 800344812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218443003) 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, 962191 + ... + 962417.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2^218443008 is an apocalyptic number.

218443008 is a gapful number since it is divisible by the number (28) 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 218443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

218443008 is an abundant number, since it is smaller than the sum of its proper divisors (452643072).

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

218443008 is a wasteful number, since it uses less digits than its factorization.

218443008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 218443008 is about 14779.8175902140. The cubic root of 218443008 is about 602.2535695544.

The spelling of 218443008 in words is "two hundred eighteen million, four hundred forty-three thousand, eight".