189914400 has 216 divisors, whose sum is σ = 721555380. Its totient is φ = 46725120.

The previous prime is 189914371. The next prime is 189914437. The reversal of 189914400 is 4419981.

It can be written as a sum of positive squares in 6 ways, for example, as 97061904 + 92852496 = 9852^2 + 9636^2 .

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

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, 92586 + ... + 94614.

Almost surely, 2^189914400 is an apocalyptic number.

189914400 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 189914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360777690).

189914400 is an abundant number, since it is smaller than the sum of its proper divisors (531640980).

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

189914400 is a wasteful number, since it uses less digits than its factorization.

189914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 189914400 is about 13780.9433639356. The cubic root of 189914400 is about 574.8033606119.

The spelling of 189914400 in words is "one hundred eighty-nine million, nine hundred fourteen thousand, four hundred".