198443952 has 160 divisors (see below), whose sum is σ = 657100800. Its totient is φ = 56166912.

The previous prime is 198443899. The next prime is 198443969. The reversal of 198443952 is 259344891.

Its product of digits (311040) is a multiple of the sum of its prime factors (640).

It is a junction number, because it is equal to n+sod(n) for n = 198443898 and 198443907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414049 + ... + 414527.

It is an arithmetic number, because the mean of its divisors is an integer number (4106880).

Almost surely, 2^198443952 is an apocalyptic number.

198443952 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 198443952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

198443952 is an abundant number, since it is smaller than the sum of its proper divisors (458656848).

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

198443952 is a wasteful number, since it uses less digits than its factorization.

198443952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 198443952 is about 14087.0135940873. The cubic root of 198443952 is about 583.2829599676.

The spelling of 198443952 in words is "one hundred ninety-eight million, four hundred forty-three thousand, nine hundred fifty-two".