198451872 has 72 divisors (see below), whose sum is σ = 583832340. Its totient is φ = 63866880.

The previous prime is 198451867. The next prime is 198451879. The reversal of 198451872 is 278154891.

198451872 is a `hidden beast` number, since 198 + 451 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198133776 + 318096 = 14076^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (198451879) 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 11 ways as a sum of consecutive naturals, for example, 3529 + ... + 20232.

Almost surely, 2^198451872 is an apocalyptic number.

198451872 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 198451872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291916170).

198451872 is an abundant number, since it is smaller than the sum of its proper divisors (385380468).

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

198451872 is a wasteful number, since it uses less digits than its factorization.

198451872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23806 (or 23795 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 198451872 is about 14087.2947012547. The cubic root of 198451872 is about 583.2907195719.

The spelling of 198451872 in words is "one hundred ninety-eight million, four hundred fifty-one thousand, eight hundred seventy-two".