194916480 has 192 divisors, whose sum is σ = 683726400. Its totient is φ = 47196160.

The previous prime is 194916461. The next prime is 194916487. The reversal of 194916480 is 84619491.

194916480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (194916487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231901 + ... + 232739.

It is an arithmetic number, because the mean of its divisors is an integer number (3561075).

Almost surely, 2^194916480 is an apocalyptic number.

194916480 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 194916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863200).

194916480 is an abundant number, since it is smaller than the sum of its proper divisors (488809920).

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

194916480 is a wasteful number, since it uses less digits than its factorization.

194916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 194916480 is about 13961.2492277733. The cubic root of 194916480 is about 579.8061976358.

The spelling of 194916480 in words is "one hundred ninety-four million, nine hundred sixteen thousand, four hundred eighty".