195200460 has 288 divisors, whose sum is σ = 772716672. Its totient is φ = 38707200.

The previous prime is 195200449. The next prime is 195200461. The reversal of 195200460 is 64002591.

195200460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (195200461) by changing a digit.

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, 278110 + ... + 278810.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^195200460 is an apocalyptic number.

195200460 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 195200460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386358336).

195200460 is an abundant number, since it is smaller than the sum of its proper divisors (577516212).

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

195200460 is a wasteful number, since it uses less digits than its factorization.

195200460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 195200460 is about 13971.4158194508. The cubic root of 195200460 is about 580.0876403435.

The spelling of 195200460 in words is "one hundred ninety-five million, two hundred thousand, four hundred sixty".