11400800 has 36 divisors (see below), whose sum is σ = 27834156. Its totient is φ = 4560000.

The previous prime is 11400793. The next prime is 11400803. The reversal of 11400800 is 800411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6326 + ... + 7925.

It is an arithmetic number, because the mean of its divisors is an integer number (773171).

Almost surely, 2^11400800 is an apocalyptic number.

11400800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400800 is an abundant number, since it is smaller than the sum of its proper divisors (16433356).

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

11400800 is a wasteful number, since it uses less digits than its factorization.

11400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271 (or 14258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11400800 is about 3376.5070709240. The cubic root of 11400800 is about 225.0669759460.

The spelling of 11400800 in words is "eleven million, four hundred thousand, eight hundred".