398368 has 24 divisors (see below), whose sum is σ = 801360. Its totient is φ = 194880.

The previous prime is 398357. The next prime is 398369. The reversal of 398368 is 863893.

It is a happy number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (398369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1783 + ... + 1993.

It is an arithmetic number, because the mean of its divisors is an integer number (33390).

2³⁹⁸³⁶⁸ 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 398368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400680).

398368 is an abundant number, since it is smaller than the sum of its proper divisors (402992).

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

398368 is a wasteful number, since it uses less digits than its factorization.

398368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 398368 is about 631.1640040433. The cubic root of 398368 is about 73.5802877266.

The spelling of 398368 in words is "three hundred ninety-eight thousand, three hundred sixty-eight".