398912 has 28 divisors (see below), whose sum is σ = 829056. Its totient is φ = 190080.

The previous prime is 398903. The next prime is 398917. The reversal of 398912 is 219893.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (398917) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1337 + ... + 1607.

2³⁹⁸⁹¹² is an apocalyptic number.

398912 is a gapful number since it is divisible by the number (32) 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 398912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414528).

398912 is an abundant number, since it is smaller than the sum of its proper divisors (430144).

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

398912 is a wasteful number, since it uses less digits than its factorization.

398912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 398912 is about 631.5948068184. The cubic root of 398912 is about 73.6137655412.

It can be divided in two parts, 39891 and 2, that added together give a palindrome (39893).

The spelling of 398912 in words is "three hundred ninety-eight thousand, nine hundred twelve".