198450816 has 64 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 65945600.

The previous prime is 198450797. The next prime is 198450817. The reversal of 198450816 is 618054891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (198450817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171841 + ... + 172991.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^198450816 is an apocalyptic number.

198450816 is a gapful number since it is divisible by the number (16) 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 198450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

198450816 is an abundant number, since it is smaller than the sum of its proper divisors (330317184).

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

198450816 is a wasteful number, since it uses less digits than its factorization.

198450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 198450816 is about 14087.2572206232. The cubic root of 198450816 is about 583.2896849699.

The spelling of 198450816 in words is "one hundred ninety-eight million, four hundred fifty thousand, eight hundred sixteen".