398848 has 40 divisors (see below), whose sum is σ = 859320. Its totient is φ = 184320.

The previous prime is 398833. The next prime is 398857. The reversal of 398848 is 848893.

It is a self number, because there is not a number n which added to its sum of digits gives 398848.

It is a congruent number.

It is an unprimeable number.

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, 9708 + ... + 9748.

It is an arithmetic number, because the mean of its divisors is an integer number (21483).

2³⁹⁸⁸⁴⁸ is an apocalyptic number.

398848 is a gapful number since it is divisible by the number (38) 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 398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429660).

398848 is an abundant number, since it is smaller than the sum of its proper divisors (460472).

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

398848 is an equidigital number, since it uses as much as digits as its factorization.

398848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 398848 is about 631.5441393917. The cubic root of 398848 is about 73.6098285551.

The spelling of 398848 in words is "three hundred ninety-eight thousand, eight hundred forty-eight".