40224 has 24 divisors (see below), whose sum is σ = 105840. Its totient is φ = 13376.

The previous prime is 40213. The next prime is 40231. The reversal of 40224 is 42204.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

40224 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, 114 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁴⁰²²⁴ is an apocalyptic number.

It is an amenable number.

40224 is an abundant number, since it is smaller than the sum of its proper divisors (65616).

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 (52920).

40224 is a wasteful number, since it uses less digits than its factorization.

40224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

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

The square root of 40224 is about 200.5592181875. The cubic root of 40224 is about 34.2632392386.

Adding to 40224 its reverse (42204), we get a palindrome (82428).

The spelling of 40224 in words is "forty thousand, two hundred twenty-four", and thus it is an iban number.