198281952 has 192 divisors, whose sum is σ = 652216320. Its totient is φ = 58060800.

The previous prime is 198281911. The next prime is 198281959. The reversal of 198281952 is 259182891.

Its product of digits (103680) is a multiple of the sum of its prime divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 198281898 and 198281907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198281959) 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, 294288 + ... + 294960.

It is an arithmetic number, because the mean of its divisors is an integer number (3396960).

Almost surely, 2^198281952 is an apocalyptic number.

198281952 is a gapful number since it is divisible by the number (12) 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 198281952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326108160).

198281952 is an abundant number, since it is smaller than the sum of its proper divisors (453934368).

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

198281952 is a wasteful number, since it uses less digits than its factorization.

198281952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 198281952 is about 14081.2624434033. The cubic root of 198281952 is about 583.1241954683.

The spelling of 198281952 in words is "one hundred ninety-eight million, two hundred eighty-one thousand, nine hundred fifty-two".