398242208 has 96 divisors (see below), whose sum is σ = 985017600. Its totient is φ = 157489920.

The previous prime is 398242199. The next prime is 398242231. The reversal of 398242208 is 802242893.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141293 + ... + 144083.

It is an arithmetic number, because the mean of its divisors is an integer number (10260600).

Almost surely, 2^398242208 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 398242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492508800).

398242208 is an abundant number, since it is smaller than the sum of its proper divisors (586775392).

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

398242208 is a wasteful number, since it uses less digits than its factorization.

398242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 398242208 is about 19956.0068149918. The cubic root of 398242208 is about 735.7254213630.

The spelling of 398242208 in words is "three hundred ninety-eight million, two hundred forty-two thousand, two hundred eight".