398385 has 32 divisors (see below), whose sum is σ = 766080. Its totient is φ = 195264.

The previous prime is 398369. The next prime is 398393. The reversal of 398385 is 583893.

It is not a de Polignac number, because 398385 - 2⁴ = 398369 is a prime.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398385.

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 31 ways as a sum of consecutive naturals, for example, 1642 + ... + 1868.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³⁹⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

398385 is a deficient number, since it is larger than the sum of its proper divisors (367695).

398385 is a wasteful number, since it uses less digits than its factorization.

398385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 398385 is about 631.1774710808. The cubic root of 398385 is about 73.5813343695.

The spelling of 398385 in words is "three hundred ninety-eight thousand, three hundred eighty-five".