11384400 has 120 divisors (see below), whose sum is σ = 37363680. Its totient is φ = 2961920.

The previous prime is 11384389. The next prime is 11384431. The reversal of 11384400 is 448311.

11384400 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 (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63511 + ... + 63689.

It is an arithmetic number, because the mean of its divisors is an integer number (311364).

Almost surely, 2^11384400 is an apocalyptic number.

11384400 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 11384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681840).

11384400 is an abundant number, since it is smaller than the sum of its proper divisors (25979280).

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

11384400 is a wasteful number, since it uses less digits than its factorization.

11384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11384400 is about 3374.0776517443. The cubic root of 11384400 is about 224.9590048768.

The spelling of 11384400 in words is "eleven million, three hundred eighty-four thousand, four hundred".