189475200 has 480 divisors, whose sum is σ = 757551960. Its totient is φ = 46448640.

The previous prime is 189475151. The next prime is 189475213. The reversal of 189475200 is 2574981.

189475200 is a `hidden beast` number, since 189 + 475 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406379 + ... + 4406421.

Almost surely, 2^189475200 is an apocalyptic number.

189475200 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 189475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378775980).

189475200 is an abundant number, since it is smaller than the sum of its proper divisors (568076760).

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

189475200 is a wasteful number, since it uses less digits than its factorization.

189475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 189475200 is about 13764.9990918997. Note that the first 3 decimals coincide. The cubic root of 189475200 is about 574.3599178534.

The spelling of 189475200 in words is "one hundred eighty-nine million, four hundred seventy-five thousand, two hundred".