195368400 has 90 divisors (see below), whose sum is σ = 677995110. Its totient is φ = 52097280.

The previous prime is 195368359. The next prime is 195368419. The reversal of 195368400 is 4863591.

195368400 is a `hidden beast` number, since 195 + 3 + 68 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42302016 + 153066384 = 6504^2 + 12372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 23535 + ... + 30734.

It is an arithmetic number, because the mean of its divisors is an integer number (7533279).

Almost surely, 2^195368400 is an apocalyptic number.

195368400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195368400 is an abundant number, since it is smaller than the sum of its proper divisors (482626710).

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

195368400 is a wasteful number, since it uses less digits than its factorization.

195368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54293 (or 54279 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 195368400 is about 13977.4246554936. The cubic root of 195368400 is about 580.2539514157.

The spelling of 195368400 in words is "one hundred ninety-five million, three hundred sixty-eight thousand, four hundred".