398426112 has 192 divisors, whose sum is σ = 1322234160. Its totient is φ = 113246208.

The previous prime is 398426111. The next prime is 398426129. The reversal of 398426112 is 211624893.

398426112 is a `hidden beast` number, since 39 + 8 + 4 + 2 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398426111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2064288 + ... + 2064480.

Almost surely, 2^398426112 is an apocalyptic number.

398426112 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 398426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661117080).

398426112 is an abundant number, since it is smaller than the sum of its proper divisors (923808048).

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

398426112 is an equidigital number, since it uses as much as digits as its factorization.

398426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 398426112 is about 19960.6140186118. The cubic root of 398426112 is about 735.8386539833.

It can be divided in two parts, 39842 and 6112, that added together give a palindrome (45954).

The spelling of 398426112 in words is "three hundred ninety-eight million, four hundred twenty-six thousand, one hundred twelve".