189764400 has 480 divisors, whose sum is σ = 774950400. Its totient is φ = 38707200.

The previous prime is 189764389. The next prime is 189764413. The reversal of 189764400 is 4467981.

It is a happy number.

189764400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4628380 + ... + 4628420.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^189764400 is an apocalyptic number.

189764400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 13775×13776.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

189764400 is an abundant number, since it is smaller than the sum of its proper divisors (585186000).

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

189764400 is a wasteful number, since it uses less digits than its factorization.

189764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 189764400 is about 13775.4999909259. The cubic root of 189764400 is about 574.6519885308.

The spelling of 189764400 in words is "one hundred eighty-nine million, seven hundred sixty-four thousand, four hundred".