398500 has 24 divisors (see below), whose sum is σ = 871416. Its totient is φ = 159200.

The previous prime is 398491. The next prime is 398509. The reversal of 398500 is 5893.

It is an interprime number because it is at equal distance from previous prime (398491) and next prime (398509).

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 379456 = 138^2 + 616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398509) by changing a digit.

398500 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 7 ways as a sum of consecutive naturals, for example, 102 + ... + 898.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2³⁹⁸⁵⁰⁰ 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 398500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708).

398500 is an abundant number, since it is smaller than the sum of its proper divisors (472916).

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

398500 is a wasteful number, since it uses less digits than its factorization.

398500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 398500 is about 631.2685640835. The cubic root of 398500 is about 73.5884138189.

It can be divided in two parts, 398 and 500, that added together give a palindrome (898).

The spelling of 398500 in words is "three hundred ninety-eight thousand, five hundred".