220485888 has 360 divisors, whose sum is σ = 791436800. Its totient is φ = 60963840.

The previous prime is 220485877. The next prime is 220485901. The reversal of 220485888 is 888584022.

220485888 is a `hidden beast` number, since 2 + 20 + 48 + 588 + 8 = 666.

It is a super-2 number, since 2×220485888² = 97228053614297088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7112433 + ... + 7112463.

Almost surely, 2^220485888 is an apocalyptic number.

220485888 is a gapful number since it is divisible by the number (28) 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 220485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395718400).

220485888 is an abundant number, since it is smaller than the sum of its proper divisors (570950912).

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

220485888 is an frugal number, since it uses more digits than its factorization.

220485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 220485888 is about 14848.7672215575. The cubic root of 220485888 is about 604.1251732444.

The spelling of 220485888 in words is "two hundred twenty million, four hundred eighty-five thousand, eight hundred eighty-eight".