220480 has 56 divisors (see below), whose sum is σ = 576072. Its totient is φ = 79872.

The previous prime is 220471. The next prime is 220511. The reversal of 220480 is 84022.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 207936 = 112^2 + 456^2 .

It is a super-2 number, since 2×220480² = 97222860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4134 + ... + 4186.

It is an arithmetic number, because the mean of its divisors is an integer number (10287).

2²²⁰⁴⁸⁰ is an apocalyptic number.

220480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288036).

220480 is an abundant number, since it is smaller than the sum of its proper divisors (355592).

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

220480 is a wasteful number, since it uses less digits than its factorization.

220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 220480 is about 469.5529789065. The cubic root of 220480 is about 60.4119795545.

The spelling of 220480 in words is "two hundred twenty thousand, four hundred eighty".