11404224 has 84 divisors (see below), whose sum is σ = 35225736. Its totient is φ = 3506688.

The previous prime is 11404207. The next prime is 11404231. The reversal of 11404224 is 42240411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11404197 and 11404206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6727 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (419354).

Almost surely, 2^11404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17612868).

11404224 is an abundant number, since it is smaller than the sum of its proper divisors (23821512).

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

11404224 is a wasteful number, since it uses less digits than its factorization.

11404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 11404224 is about 3377.0140657095. The cubic root of 11404224 is about 225.0895051308.

Adding to 11404224 its reverse (42240411), we get a palindrome (53644635).

It can be divided in two parts, 11404 and 224, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11404224 in words is "eleven million, four hundred four thousand, two hundred twenty-four".