218009484 has 288 divisors, whose sum is σ = 738017280. Its totient is φ = 52617600.

The previous prime is 218009461. The next prime is 218009489. The reversal of 218009484 is 484900812.

It is a super-2 number, since 2×218009484² = 95056270227892512, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218009489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3695047 + ... + 3695105.

It is an arithmetic number, because the mean of its divisors is an integer number (2562560).

Almost surely, 2^218009484 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 218009484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369008640).

218009484 is an abundant number, since it is smaller than the sum of its proper divisors (520007796).

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

218009484 is a wasteful number, since it uses less digits than its factorization.

218009484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 218009484 is about 14765.1442255062. The cubic root of 218009484 is about 601.8548930437.

The spelling of 218009484 in words is "two hundred eighteen million, nine thousand, four hundred eighty-four".