189408000 has 144 divisors (see below), whose sum is σ = 629437536. Its totient is φ = 50483200.

The previous prime is 189407971. The next prime is 189408029. The reversal of 189408000 is 804981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189407971) and next prime (189408029).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95014 + ... + 96986.

It is an arithmetic number, because the mean of its divisors is an integer number (4371094).

Almost surely, 2^189408000 is an apocalyptic number.

189408000 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 189408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314718768).

189408000 is an abundant number, since it is smaller than the sum of its proper divisors (440029536).

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

189408000 is an equidigital number, since it uses as much as digits as its factorization.

189408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 189408000 is about 13762.5579017856. The cubic root of 189408000 is about 574.2920082618.

The spelling of 189408000 in words is "one hundred eighty-nine million, four hundred eight thousand".