189230400 has 252 divisors, whose sum is σ = 713053692. Its totient is φ = 47431680.

The previous prime is 189230389. The next prime is 189230473. The reversal of 189230400 is 4032981.

It can be written as a sum of positive squares in 6 ways, for example, as 12446784 + 176783616 = 3528^2 + 13296^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244414 + ... + 245186.

Almost surely, 2^189230400 is an apocalyptic number.

189230400 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 189230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356526846).

189230400 is an abundant number, since it is smaller than the sum of its proper divisors (523823292).

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

189230400 is a wasteful number, since it uses less digits than its factorization.

189230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 189230400 is about 13756.1040996352. The cubic root of 189230400 is about 574.1124555574.

The spelling of 189230400 in words is "one hundred eighty-nine million, two hundred thirty thousand, four hundred".