398105968 has 80 divisors (see below), whose sum is σ = 887443200. Its totient is φ = 171601920.

The previous prime is 398105963. The next prime is 398106077. The reversal of 398105968 is 869501893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398105963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185928 + ... + 188056.

It is an arithmetic number, because the mean of its divisors is an integer number (11093040).

Almost surely, 2^398105968 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 398105968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443721600).

398105968 is an abundant number, since it is smaller than the sum of its proper divisors (489337232).

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

398105968 is a wasteful number, since it uses less digits than its factorization.

398105968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 398105968 is about 19952.5930144430. The cubic root of 398105968 is about 735.6415137462.

The spelling of 398105968 in words is "three hundred ninety-eight million, one hundred five thousand, nine hundred sixty-eight".