398112 has 96 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 107520.

The previous prime is 398087. The next prime is 398113. The reversal of 398112 is 211893.

398112 = T₇₈ + T₇₉ + ... + T₁₄₁.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (398113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13714 + ... + 13742.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2³⁹⁸¹¹² is an apocalyptic number.

398112 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 398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

398112 is an abundant number, since it is smaller than the sum of its proper divisors (871968).

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

398112 is a wasteful number, since it uses less digits than its factorization.

398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 398112 is about 630.9611715470. The cubic root of 398112 is about 73.5645229145.

It can be divided in two parts, 3981 and 12, that added together give a palindrome (3993).

The spelling of 398112 in words is "three hundred ninety-eight thousand, one hundred twelve".