193998480 has 120 divisors (see below), whose sum is σ = 651351168. Its totient is φ = 47743488.

The previous prime is 193998461. The next prime is 193998503. The reversal of 193998480 is 84899391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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, 38169 + ... + 42951.

Almost surely, 2^193998480 is an apocalyptic number.

193998480 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 193998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325675584).

193998480 is an abundant number, since it is smaller than the sum of its proper divisors (457352688).

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

193998480 is a wasteful number, since it uses less digits than its factorization.

193998480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 193998480 is about 13928.3337122572. Note that the first 3 decimals coincide. The cubic root of 193998480 is about 578.8945253089.

The spelling of 193998480 in words is "one hundred ninety-three million, nine hundred ninety-eight thousand, four hundred eighty".