220952448 has 160 divisors (see below), whose sum is σ = 667208520. Its totient is φ = 72576000.

The previous prime is 220952443. The next prime is 220952449. The reversal of 220952448 is 844259022.

220952448 is a `hidden beast` number, since 2 + 209 + 5 + 2 + 448 = 666.

220952448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220952443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047063 + ... + 1047273.

Almost surely, 2^220952448 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 220952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333604260).

220952448 is an abundant number, since it is smaller than the sum of its proper divisors (446256072).

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

220952448 is a wasteful number, since it uses less digits than its factorization.

220952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 220952448 is about 14864.4693144424. The cubic root of 220952448 is about 604.5509934878.

The spelling of 220952448 in words is "two hundred twenty million, nine hundred fifty-two thousand, four hundred forty-eight".