189888400 has 135 divisors (see below), whose sum is σ = 503495769. Its totient is φ = 68789760.

The previous prime is 189888371. The next prime is 189888409. The reversal of 189888400 is 4888981.

The square root of 189888400 is 13780.

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

189888400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 149132944 + 40755456 = 12212^2 + 6384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189888409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3582774 + ... + 3582826.

Almost surely, 2^189888400 is an apocalyptic number.

189888400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189888400 is the 13780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189888400

189888400 is an abundant number, since it is smaller than the sum of its proper divisors (313607369).

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

189888400 is a wasteful number, since it uses less digits than its factorization.

189888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The cubic root of 189888400 is about 574.7771284964. Note that the first 3 decimals are identical.

Multiplying 189888400 by its product of nonzero digits (147456), we get a square (28000183910400 = 5291520²).

The spelling of 189888400 in words is "one hundred eighty-nine million, eight hundred eighty-eight thousand, four hundred".