220520448 has 112 divisors (see below), whose sum is σ = 654009360. Its totient is φ = 73433088.

The previous prime is 220520423. The next prime is 220520491. The reversal of 220520448 is 844025022.

It is a happy number.

It is a super-2 number, since 2×220520448² = 97258535972241408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220686 + ... + 221682.

Almost surely, 2^220520448 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 220520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327004680).

220520448 is an abundant number, since it is smaller than the sum of its proper divisors (433488912).

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

220520448 is an frugal number, since it uses more digits than its factorization.

220520448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 220520448 is about 14849.9309089302. The cubic root of 220520448 is about 604.1567360735.

The spelling of 220520448 in words is "two hundred twenty million, five hundred twenty thousand, four hundred forty-eight".