11200448 has 56 divisors (see below), whose sum is σ = 26529792. Its totient is φ = 4587264.

The previous prime is 11200403. The next prime is 11200451. The reversal of 11200448 is 84400211.

11200448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9761 + ... + 10847.

Almost surely, 2^11200448 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 11200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264896).

11200448 is an abundant number, since it is smaller than the sum of its proper divisors (15329344).

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

11200448 is a wasteful number, since it uses less digits than its factorization.

11200448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 11200448 is about 3346.7070382691. The cubic root of 11200448 is about 223.7407715470.

Adding to 11200448 its reverse (84400211), we get a palindrome (95600659).

It can be divided in two parts, 11200 and 448, that multiplied together give a square (5017600 = 2240²).

The spelling of 11200448 in words is "eleven million, two hundred thousand, four hundred forty-eight".