398048 has 24 divisors (see below), whose sum is σ = 896112. Its totient is φ = 170496.

The previous prime is 398039. The next prime is 398053. The reversal of 398048 is 840893.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

398048 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 3 ways as a sum of consecutive naturals, for example, 665 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (37338).

2³⁹⁸⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

398048 is an abundant number, since it is smaller than the sum of its proper divisors (498064).

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

398048 is a wasteful number, since it uses less digits than its factorization.

398048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 398048 is about 630.9104532341. The cubic root of 398048 is about 73.5605806555.

The spelling of 398048 in words is "three hundred ninety-eight thousand, forty-eight".