223440 has 120 divisors (see below), whose sum is σ = 848160. Its totient is φ = 48384.

The previous prime is 223439. The next prime is 223441. The reversal of 223440 is 44322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223439) and next prime (223441).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11751 + ... + 11769.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2²²³⁴⁴⁰ is an apocalyptic number.

223440 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 223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080).

223440 is an abundant number, since it is smaller than the sum of its proper divisors (624720).

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

223440 is a wasteful number, since it uses less digits than its factorization.

223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 223440 is about 472.6944044518. The cubic root of 223440 is about 60.6811273878.

Adding to 223440 its reverse (44322), we get a palindrome (267762).

The spelling of 223440 in words is "two hundred twenty-three thousand, four hundred forty", and thus it is an iban number.