195478920 has 576 divisors, whose sum is σ = 863291520. Its totient is φ = 38817792.

The previous prime is 195478883. The next prime is 195478949. The reversal of 195478920 is 29874591.

195478920 is a `hidden beast` number, since 1 + 9 + 547 + 89 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 11498752 + ... + 11498768.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 2^195478920 is an apocalyptic number.

195478920 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 195478920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760).

195478920 is an abundant number, since it is smaller than the sum of its proper divisors (667812600).

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

195478920 is a wasteful number, since it uses less digits than its factorization.

195478920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 195478920 is about 13981.3776145271. The cubic root of 195478920 is about 580.3633474384.

The spelling of 195478920 in words is "one hundred ninety-five million, four hundred seventy-eight thousand, nine hundred twenty".