11200400 has 30 divisors (see below), whose sum is σ = 26909922. Its totient is φ = 4480000.

The previous prime is 11200391. The next prime is 11200403. The reversal of 11200400 is 400211.

11200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1290496 + 9909904 = 1136^2 + 3148^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11200403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13601 + ... + 14400.

Almost surely, 2^11200400 is an apocalyptic number.

11200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200400 is an abundant number, since it is smaller than the sum of its proper divisors (15709522).

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

11200400 is a wasteful number, since it uses less digits than its factorization.

11200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28019 (or 28008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 11200400 is about 3346.6998670332. The cubic root of 11200400 is about 223.7404519297.

Adding to 11200400 its reverse (400211), we get a palindrome (11600611).

The spelling of 11200400 in words is "eleven million, two hundred thousand, four hundred".