195426400 has 288 divisors, whose sum is σ = 577463040. Its totient is φ = 63866880.

The previous prime is 195426397. The next prime is 195426401. The reversal of 195426400 is 4624591.

195426400 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 not an unprimeable number, because it can be changed into a prime (195426401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4544779 + ... + 4544821.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^195426400 is an apocalyptic number.

195426400 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 195426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

195426400 is an abundant number, since it is smaller than the sum of its proper divisors (382036640).

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

195426400 is a wasteful number, since it uses less digits than its factorization.

195426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 195426400 is about 13979.4992757252. The cubic root of 195426400 is about 580.3113667045.

The spelling of 195426400 in words is "one hundred ninety-five million, four hundred twenty-six thousand, four hundred".