220464800 has 36 divisors (see below), whose sum is σ = 538211646. Its totient is φ = 88185600.

The previous prime is 220464781. The next prime is 220464841. The reversal of 220464800 is 8464022.

It can be written as a sum of positive squares in 3 ways, for example, as 100080016 + 120384784 = 10004^2 + 10972^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220464800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136991 + ... + 138590.

Almost surely, 2^220464800 is an apocalyptic number.

220464800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220464800 is an abundant number, since it is smaller than the sum of its proper divisors (317746846).

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

220464800 is a wasteful number, since it uses less digits than its factorization.

220464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275601 (or 275588 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 220464800 is about 14848.0571119591. The cubic root of 220464800 is about 604.1059124534.

The spelling of 220464800 in words is "two hundred twenty million, four hundred sixty-four thousand, eight hundred".