118400 has 48 divisors (see below), whose sum is σ = 300390. Its totient is φ = 46080.

The previous prime is 118399. The next prime is 118409. The reversal of 118400 is 4811.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 107584 + 10816 = 328^2 + 104^2 .

It is not an unprimeable number, because it can be changed into a prime (118409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3182 + ... + 3218.

2¹¹⁸⁴⁰⁰ is an apocalyptic number.

118400 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 118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150195).

118400 is an abundant number, since it is smaller than the sum of its proper divisors (181990).

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

118400 is an equidigital number, since it uses as much as digits as its factorization.

118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

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

The square root of 118400 is about 344.0930106817. The cubic root of 118400 is about 49.1040410477.

The spelling of 118400 in words is "one hundred eighteen thousand, four hundred".