188400 has 60 divisors (see below), whose sum is σ = 607352. Its totient is φ = 49920.

The previous prime is 188389. The next prime is 188401. The reversal of 188400 is 4881.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188401) by changing a digit.

188400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122 + ... + 1278.

2¹⁸⁸⁴⁰⁰ is an apocalyptic number.

188400 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 188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303676).

188400 is an abundant number, since it is smaller than the sum of its proper divisors (418952).

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

188400 is a wasteful number, since it uses less digits than its factorization.

188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 188400 is about 434.0506882842. The cubic root of 188400 is about 57.3271431331.

The spelling of 188400 in words is "one hundred eighty-eight thousand, four hundred".