195413400 has 288 divisors, whose sum is σ = 808385760. Its totient is φ = 41195520.

The previous prime is 195413399. The next prime is 195413411. The reversal of 195413400 is 4314591.

195413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163204 + ... + 164396.

It is an arithmetic number, because the mean of its divisors is an integer number (2806895).

Almost surely, 2^195413400 is an apocalyptic number.

195413400 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 195413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404192880).

195413400 is an abundant number, since it is smaller than the sum of its proper divisors (612972360).

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

195413400 is a wasteful number, since it uses less digits than its factorization.

195413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1223 counting only the distinct ones).

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

The square root of 195413400 is about 13979.0343014101. The cubic root of 195413400 is about 580.2984987483.

Adding to 195413400 its reverse (4314591), we get a palindrome (199727991).

It can be divided in two parts, 195 and 413400, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 195413400 in words is "one hundred ninety-five million, four hundred thirteen thousand, four hundred".