398732112 has 80 divisors (see below), whose sum is σ = 1163348160. Its totient is φ = 130723200.

The previous prime is 398732101. The next prime is 398732123. The reversal of 398732112 is 211237893.

It is an interprime number because it is at equal distance from previous prime (398732101) and next prime (398732123).

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

It is a congruent number.

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, 18787 + ... + 33917.

It is an arithmetic number, because the mean of its divisors is an integer number (14541852).

Almost surely, 2^398732112 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 398732112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581674080).

398732112 is an abundant number, since it is smaller than the sum of its proper divisors (764616048).

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

398732112 is a wasteful number, since it uses less digits than its factorization.

398732112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15209 (or 15197 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 398732112 is about 19968.2776423005. The cubic root of 398732112 is about 736.0269858568.

The spelling of 398732112 in words is "three hundred ninety-eight million, seven hundred thirty-two thousand, one hundred twelve".