11404200 has 96 divisors (see below), whose sum is σ = 35935200. Its totient is φ = 2991360.

The previous prime is 11404189. The next prime is 11404201. The reversal of 11404200 is 240411.

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

It is not an unprimeable number, because it can be changed into a prime (11404201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49686 + ... + 49914.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 2^11404200 is an apocalyptic number.

11404200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600).

11404200 is an abundant number, since it is smaller than the sum of its proper divisors (24531000).

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

11404200 is a wasteful number, since it uses less digits than its factorization.

11404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11404200 is about 3377.0105122727. The cubic root of 11404200 is about 225.0893472317.

Adding to 11404200 its reverse (240411), we get a palindrome (11644611).

The spelling of 11404200 in words is "eleven million, four hundred four thousand, two hundred".