22480 has 20 divisors (see below), whose sum is σ = 52452. Its totient is φ = 8960.

The previous prime is 22469. The next prime is 22481. The reversal of 22480 is 8422.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 10816 = 108^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22481) by changing a digit.

22480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61 + ... + 220.

2²²⁴⁸⁰ is an apocalyptic number.

22480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22480 is an abundant number, since it is smaller than the sum of its proper divisors (29972).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26226).

22480 is a wasteful number, since it uses less digits than its factorization.

22480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

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

The square root of 22480 is about 149.9333185119. The cubic root of 22480 is about 28.2227136221. Note that the first 3 decimals are identical.

The spelling of 22480 in words is "twenty-two thousand, four hundred eighty".