11400224 has 48 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 5122560.

The previous prime is 11400223. The next prime is 11400239. The reversal of 11400224 is 42200411.

It is a junction number, because it is equal to n+sod(n) for n = 11400199 and 11400208.

It is not an unprimeable number, because it can be changed into a prime (11400223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48812 + ... + 49044.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^11400224 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 11400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

11400224 is an abundant number, since it is smaller than the sum of its proper divisors (13366336).

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

11400224 is a wasteful number, since it uses less digits than its factorization.

11400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 11400224 is about 3376.4217746010. The cubic root of 11400224 is about 225.0631855465.

Adding to 11400224 its reverse (42200411), we get a palindrome (53600635).

The spelling of 11400224 in words is "eleven million, four hundred thousand, two hundred twenty-four".