398736 has 80 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 120960.

The previous prime is 398731. The next prime is 398759. The reversal of 398736 is 637893.

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

It is a self number, because there is not a number n which added to its sum of digits gives 398736.

It is not an unprimeable number, because it can be changed into a prime (398731) by changing a digit.

398736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5581 + ... + 5651.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2³⁹⁸⁷³⁶ is an apocalyptic number.

398736 is a gapful number since it is divisible by the number (36) 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 398736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

398736 is an abundant number, since it is smaller than the sum of its proper divisors (851184).

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

398736 is a wasteful number, since it uses less digits than its factorization.

398736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 398736 is about 631.4554616123. The cubic root of 398736 is about 73.6029378159.

The spelling of 398736 in words is "three hundred ninety-eight thousand, seven hundred thirty-six".