195440400 has 135 divisors (see below), whose sum is σ = 681155839. Its totient is φ = 51893760.

The previous prime is 195440389. The next prime is 195440411. The reversal of 195440400 is 4044591.

The square root of 195440400 is 13980.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (195440389) and next prime (195440411).

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 156950784 = 6204^2 + 12528^2 .

It is a Duffinian number.

It is a nialpdrome in base 12.

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 26 ways as a sum of consecutive naturals, for example, 838684 + ... + 838916.

Almost surely, 2^195440400 is an apocalyptic number.

195440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195440400 is the 13980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195440400

195440400 is an abundant number, since it is smaller than the sum of its proper divisors (485715439).

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

195440400 is a wasteful number, since it uses less digits than its factorization.

195440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 195440400 is about 580.3252238653.

Adding to 195440400 its reverse (4044591), we get a palindrome (199484991).

The spelling of 195440400 in words is "one hundred ninety-five million, four hundred forty thousand, four hundred".