195350400 has 768 divisors, whose sum is σ = 910656000. Its totient is φ = 39813120.

The previous prime is 195350387. The next prime is 195350411. The reversal of 195350400 is 4053591.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 10281591 + ... + 10281609.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^195350400 is an apocalyptic number.

195350400 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 195350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328000).

195350400 is an abundant number, since it is smaller than the sum of its proper divisors (715305600).

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

195350400 is a wasteful number, since it uses less digits than its factorization.

195350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 195350400 is about 13976.7807452217. The cubic root of 195350400 is about 580.2361305673.

The spelling of 195350400 in words is "one hundred ninety-five million, three hundred fifty thousand, four hundred".