11804400 has 120 divisors (see below), whose sum is σ = 42053360. Its totient is φ = 3144960.

The previous prime is 11804399. The next prime is 11804411. The reversal of 11804400 is 440811.

11804400 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 Harshad number since it is a multiple of its sum of digits (18).

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, 10254 + ... + 11346.

Almost surely, 2^11804400 is an apocalyptic number.

11804400 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 11804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026680).

11804400 is an abundant number, since it is smaller than the sum of its proper divisors (30248960).

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

11804400 is a wasteful number, since it uses less digits than its factorization.

11804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11804400 is about 3435.7531925329. The cubic root of 11804400 is about 227.6921051767.

The spelling of 11804400 in words is "eleven million, eight hundred four thousand, four hundred".