189050400 has 648 divisors, whose sum is σ = 864444672. Its totient is φ = 38016000.

The previous prime is 189050383. The next prime is 189050401. The reversal of 189050400 is 4050981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189050401) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 6098385 + ... + 6098415.

Almost surely, 2^189050400 is an apocalyptic number.

189050400 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 189050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

189050400 is an abundant number, since it is smaller than the sum of its proper divisors (675394272).

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

189050400 is a wasteful number, since it uses less digits than its factorization.

189050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 189050400 is about 13749.5599929598. The cubic root of 189050400 is about 573.9303617962.

The spelling of 189050400 in words is "one hundred eighty-nine million, fifty thousand, four hundred".