218580480 has 240 divisors, whose sum is σ = 775597680. Its totient is φ = 56868864.

The previous prime is 218580457. The next prime is 218580587. The reversal of 218580480 is 84085812.

218580480 is a `hidden beast` number, since 21 + 85 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1221031 + ... + 1221209.

It is an arithmetic number, because the mean of its divisors is an integer number (3231657).

Almost surely, 2^218580480 is an apocalyptic number.

218580480 is a gapful number since it is divisible by the number (20) 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 218580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387798840).

218580480 is an abundant number, since it is smaller than the sum of its proper divisors (557017200).

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

218580480 is a wasteful number, since it uses less digits than its factorization.

218580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 218580480 is about 14784.4675250751. The cubic root of 218580480 is about 602.3798811289.

The spelling of 218580480 in words is "two hundred eighteen million, five hundred eighty thousand, four hundred eighty".