220468880 has 20 divisors (see below), whose sum is σ = 512590332. Its totient is φ = 88187520.

The previous prime is 220468867. The next prime is 220468889. The reversal of 220468880 is 88864022.

220468880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 78287104 + 142181776 = 8848^2 + 11924^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220468889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1377851 + ... + 1378010.

Almost surely, 2^220468880 is an apocalyptic number.

220468880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220468880 is an abundant number, since it is smaller than the sum of its proper divisors (292121452).

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

220468880 is a wasteful number, since it uses less digits than its factorization.

220468880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755874 (or 2755868 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 220468880 is about 14848.1945030364. The cubic root of 220468880 is about 604.1096390300.

The spelling of 220468880 in words is "two hundred twenty million, four hundred sixty-eight thousand, eight hundred eighty".