198393408 has 224 divisors, whose sum is σ = 625449600. Its totient is φ = 61544448.

The previous prime is 198393389. The next prime is 198393427. The reversal of 198393408 is 804393891.

198393408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198393389) and next prime (198393427).

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, 1854091 + ... + 1854197.

Almost surely, 2^198393408 is an apocalyptic number.

198393408 is a gapful number since it is divisible by the number (18) 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 198393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312724800).

198393408 is an abundant number, since it is smaller than the sum of its proper divisors (427056192).

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

198393408 is a wasteful number, since it uses less digits than its factorization.

198393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 198393408 is about 14085.2194871078. The cubic root of 198393408 is about 583.2334347205.

The spelling of 198393408 in words is "one hundred ninety-eight million, three hundred ninety-three thousand, four hundred eight".