220844448 has 192 divisors, whose sum is σ = 740275200. Its totient is φ = 63348480.

The previous prime is 220844443. The next prime is 220844489. The reversal of 220844448 is 844448022.

220844448 is a `hidden beast` number, since 2 + 208 + 4 + 4 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220844443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179965 + ... + 181187.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^220844448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220844448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

220844448 is an abundant number, since it is smaller than the sum of its proper divisors (519430752).

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

220844448 is a wasteful number, since it uses less digits than its factorization.

220844448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 220844448 is about 14860.8360464679. The cubic root of 220844448 is about 604.4524773458.

It can be divided in two parts, 2208 and 44448, that added together give a 6-th power (46656 = 6⁶).

The spelling of 220844448 in words is "two hundred twenty million, eight hundred forty-four thousand, four hundred forty-eight".