188238400 has 147 divisors (see below), whose sum is σ = 540380809. Its totient is φ = 64538880.

The previous prime is 188238389. The next prime is 188238437. The reversal of 188238400 is 4832881.

The square root of 188238400 is 13720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 120472576 = 8232^2 + 10976^2 .

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 26891197 + ... + 26891203.

Almost surely, 2^188238400 is an apocalyptic number.

188238400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

188238400 is the 13720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188238400

188238400 is an abundant number, since it is smaller than the sum of its proper divisors (352142409).

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

188238400 is an frugal number, since it uses more digits than its factorization.

188238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The cubic root of 188238400 is about 573.1074766897.

The spelling of 188238400 in words is "one hundred eighty-eight million, two hundred thirty-eight thousand, four hundred".