398938256 has 80 divisors (see below), whose sum is σ = 827566080. Its totient is φ = 186001920.

The previous prime is 398938249. The next prime is 398938271. The reversal of 398938256 is 652839893.

It is a super-3 number, since 3×398938256³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398938198 and 398938207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540930 + ... + 2541086.

It is an arithmetic number, because the mean of its divisors is an integer number (10344576).

Almost surely, 2^398938256 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 398938256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413783040).

398938256 is an abundant number, since it is smaller than the sum of its proper divisors (428627824).

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

398938256 is a wasteful number, since it uses less digits than its factorization.

398938256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 53.

The square root of 398938256 is about 19973.4387625166. The cubic root of 398938256 is about 736.1538056791.

The spelling of 398938256 in words is "three hundred ninety-eight million, nine hundred thirty-eight thousand, two hundred fifty-six".