218086480 has 20 divisors (see below), whose sum is σ = 507051252. Its totient is φ = 87234560.

The previous prime is 218086471. The next prime is 218086487. The reversal of 218086480 is 84680812.

It can be written as a sum of positive squares in 2 ways, for example, as 152670736 + 65415744 = 12356^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218086487) 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 3 ways as a sum of consecutive naturals, for example, 1362961 + ... + 1363120.

Almost surely, 2^218086480 is an apocalyptic number.

218086480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218086480 is an abundant number, since it is smaller than the sum of its proper divisors (288964772).

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

218086480 is a wasteful number, since it uses less digits than its factorization.

218086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726094 (or 2726088 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 218086480 is about 14767.7513521863. The cubic root of 218086480 is about 601.9257385319.

The spelling of 218086480 in words is "two hundred eighteen million, eighty-six thousand, four hundred eighty".