189638400 has 432 divisors, whose sum is σ = 766450944. Its totient is φ = 40304640.

The previous prime is 189638389. The next prime is 189638419. The reversal of 189638400 is 4836981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284759 + ... + 2284841.

It is an arithmetic number, because the mean of its divisors is an integer number (1774192).

Almost surely, 2^189638400 is an apocalyptic number.

189638400 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 189638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383225472).

189638400 is an abundant number, since it is smaller than the sum of its proper divisors (576812544).

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

189638400 is a wasteful number, since it uses less digits than its factorization.

189638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 189638400 is about 13770.9258947973. The cubic root of 189638400 is about 574.5247743257.

The spelling of 189638400 in words is "one hundred eighty-nine million, six hundred thirty-eight thousand, four hundred".