195456040 has 128 divisors (see below), whose sum is σ = 507225600. Its totient is φ = 67184640.

The previous prime is 195456029. The next prime is 195456049. The reversal of 195456040 is 40654591.

It is a junction number, because it is equal to n+sod(n) for n = 195455987 and 195456005.

It is not an unprimeable number, because it can be changed into a prime (195456049) 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 31 ways as a sum of consecutive naturals, for example, 721105 + ... + 721375.

It is an arithmetic number, because the mean of its divisors is an integer number (3962700).

Almost surely, 2^195456040 is an apocalyptic number.

195456040 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 195456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253612800).

195456040 is an abundant number, since it is smaller than the sum of its proper divisors (311769560).

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

195456040 is a wasteful number, since it uses less digits than its factorization.

195456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 195456040 is about 13980.5593593390. The cubic root of 195456040 is about 580.3407035109.

The spelling of 195456040 in words is "one hundred ninety-five million, four hundred fifty-six thousand, forty".