220888480 has 96 divisors (see below), whose sum is σ = 556431120. Its totient is φ = 82862080.

The previous prime is 220888457. The next prime is 220888487. The reversal of 220888480 is 84888022.

It is a happy number.

220888480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 125708944 + 95179536 = 11212^2 + 9756^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (220888487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785940 + ... + 786220.

Almost surely, 2^220888480 is an apocalyptic number.

220888480 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 220888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278215560).

220888480 is an abundant number, since it is smaller than the sum of its proper divisors (335542640).

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

220888480 is an equidigital number, since it uses as much as digits as its factorization.

220888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 220888480 is about 14862.3174505189. The cubic root of 220888480 is about 604.4926466189.

The spelling of 220888480 in words is "two hundred twenty million, eight hundred eighty-eight thousand, four hundred eighty".