218040480 has 288 divisors, whose sum is σ = 862977024. Its totient is φ = 49102848.

The previous prime is 218040479. The next prime is 218040497. The reversal of 218040480 is 84040812.

218040480 is a `hidden beast` number, since 2 + 180 + 4 + 0 + 480 = 666.

218040480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977649 + ... + 977871.

It is an arithmetic number, because the mean of its divisors is an integer number (2996448).

Almost surely, 2^218040480 is an apocalyptic number.

218040480 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 218040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431488512).

218040480 is an abundant number, since it is smaller than the sum of its proper divisors (644936544).

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

218040480 is a wasteful number, since it uses less digits than its factorization.

218040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 218040480 is about 14766.1938223768. The cubic root of 218040480 is about 601.8834150601.

The spelling of 218040480 in words is "two hundred eighteen million, forty thousand, four hundred eighty".