398000 has 40 divisors (see below), whose sum is σ = 967200. Its totient is φ = 158400.

The previous prime is 397981. The next prime is 398011. The reversal of 398000 is 893.

398000 = T₂₁₅ + T₂₁₆ + ... + T₂₃₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable 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, 1901 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2³⁹⁸⁰⁰⁰ 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 398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483600).

398000 is an abundant number, since it is smaller than the sum of its proper divisors (569200).

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

398000 is a wasteful number, since it uses less digits than its factorization.

398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 398000 is about 630.8724118235. The cubic root of 398000 is about 73.5576236840.

398000 divided by its sum of digits (20) gives a triangular number (19900 = T₁₉₉).

Adding to 398000 its reverse (893), we get a palindrome (398893).

The spelling of 398000 in words is "three hundred ninety-eight thousand".