218544480 has 576 divisors, whose sum is σ = 977453568. Its totient is φ = 44789760.

The previous prime is 218544457. The next prime is 218544509. The reversal of 218544480 is 84445812.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993724 + ... + 2993796.

It is an arithmetic number, because the mean of its divisors is an integer number (1696968).

Almost surely, 2^218544480 is an apocalyptic number.

218544480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

218544480 is the 7392-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488726784).

218544480 is an abundant number, since it is smaller than the sum of its proper divisors (758909088).

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

218544480 is a wasteful number, since it uses less digits than its factorization.

218544480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 218544480 is about 14783.2499809751. The cubic root of 218544480 is about 602.3468088461.

It can be divided in two parts, 218544 and 480, that added together give a square (219024 = 468²).

The spelling of 218544480 in words is "two hundred eighteen million, five hundred forty-four thousand, four hundred eighty".