220488800 has 72 divisors (see below), whose sum is σ = 615179376. Its totient is φ = 75594240.

The previous prime is 220488773. The next prime is 220488817. The reversal of 220488800 is 8884022.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14087 + ... + 25286.

It is an arithmetic number, because the mean of its divisors is an integer number (8544158).

Almost surely, 2^220488800 is an apocalyptic number.

220488800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220488800 is an abundant number, since it is smaller than the sum of its proper divisors (394690576).

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

220488800 is a wasteful number, since it uses less digits than its factorization.

220488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39400 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 220488800 is about 14848.8652765119. The cubic root of 220488800 is about 604.1278328323.

The spelling of 220488800 in words is "two hundred twenty million, four hundred eighty-eight thousand, eight hundred".