198509408 has 48 divisors (see below), whose sum is σ = 428107680. Its totient is φ = 90187776.

The previous prime is 198509407. The next prime is 198509417. The reversal of 198509408 is 804905891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198509407) 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, 9485 + ... + 22067.

It is an arithmetic number, because the mean of its divisors is an integer number (8918910).

Almost surely, 2^198509408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

198509408 is an abundant number, since it is smaller than the sum of its proper divisors (229598272).

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

198509408 is a wasteful number, since it uses less digits than its factorization.

198509408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639 (or 12631 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The square root of 198509408 is about 14089.3366770760. The cubic root of 198509408 is about 583.3470841566.

The spelling of 198509408 in words is "one hundred ninety-eight million, five hundred nine thousand, four hundred eight".