195384000 has 224 divisors, whose sum is σ = 737957376. Its totient is φ = 44620800.

The previous prime is 195383999. The next prime is 195384001. The reversal of 195384000 is 483591.

It is an interprime number because it is at equal distance from previous prime (195383999) and next prime (195384001).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (195384001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167419 + ... + 168581.

Almost surely, 2^195384000 is an apocalyptic number.

195384000 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 195384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368978688).

195384000 is an abundant number, since it is smaller than the sum of its proper divisors (542573376).

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

195384000 is a wasteful number, since it uses less digits than its factorization.

195384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 195384000 is about 13977.9826870690. The cubic root of 195384000 is about 580.2693952656.

The spelling of 195384000 in words is "one hundred ninety-five million, three hundred eighty-four thousand".