198329472 has 320 divisors, whose sum is σ = 675354240. Its totient is φ = 57231360.

The previous prime is 198329441. The next prime is 198329477. The reversal of 198329472 is 274923891.

It is not an unprimeable number, because it can be changed into a prime (198329477) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4219753 + ... + 4219799.

It is an arithmetic number, because the mean of its divisors is an integer number (2110482).

Almost surely, 2^198329472 is an apocalyptic number.

198329472 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 198329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337677120).

198329472 is an abundant number, since it is smaller than the sum of its proper divisors (477024768).

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

198329472 is a wasteful number, since it uses less digits than its factorization.

198329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 198329472 is about 14082.9496910271. The cubic root of 198329472 is about 583.1707753480.

The spelling of 198329472 in words is "one hundred ninety-eight million, three hundred twenty-nine thousand, four hundred seventy-two".