220440 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 53120.

The previous prime is 220421. The next prime is 220447. The reversal of 220440 is 44022.

220440 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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220447) by changing a digit.

220440 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 15 ways as a sum of consecutive naturals, for example, 1237 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²²⁰⁴⁴⁰ is an apocalyptic number.

220440 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 220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

220440 is an abundant number, since it is smaller than the sum of its proper divisors (505320).

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

220440 is a wasteful number, since it uses less digits than its factorization.

220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220440 is about 469.5103832718. The cubic root of 220440 is about 60.4083259724.

Adding to 220440 its reverse (44022), we get a palindrome (264462).

The spelling of 220440 in words is "two hundred twenty thousand, four hundred forty", and thus it is an iban number.