189406400 has 84 divisors (see below), whose sum is σ = 477069912. Its totient is φ = 73973760.

The previous prime is 189406379. The next prime is 189406417. The reversal of 189406400 is 4604981.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 67424 + ... + 70176.

Almost surely, 2^189406400 is an apocalyptic number.

189406400 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 189406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238534956).

189406400 is an abundant number, since it is smaller than the sum of its proper divisors (287663512).

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

189406400 is a wasteful number, since it uses less digits than its factorization.

189406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 189406400 is about 13762.4997729337. The cubic root of 189406400 is about 574.2903911710.

The spelling of 189406400 in words is "one hundred eighty-nine million, four hundred six thousand, four hundred".