398340 has 36 divisors (see below), whose sum is σ = 1208844. Its totient is φ = 106176.

The previous prime is 398339. The next prime is 398341. The reversal of 398340 is 43893.

It is an interprime number because it is at equal distance from previous prime (398339) and next prime (398341).

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 93636 = 552^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 927 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (33579).

2³⁹⁸³⁴⁰ is an apocalyptic number.

398340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398340 is an abundant number, since it is smaller than the sum of its proper divisors (810504).

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

398340 is a wasteful number, since it uses less digits than its factorization.

398340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 398340 is about 631.1418224139. The cubic root of 398340 is about 73.5785637793.

The spelling of 398340 in words is "three hundred ninety-eight thousand, three hundred forty".