398448 has 30 divisors (see below), whose sum is σ = 1115504. Its totient is φ = 132768.

The previous prime is 398441. The next prime is 398459. The reversal of 398448 is 844893.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398448.

It is not an unprimeable number, because it can be changed into a prime (398441) by changing a digit.

398448 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 5 ways as a sum of consecutive naturals, for example, 1240 + ... + 1527.

2³⁹⁸⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

398448 is an abundant number, since it is smaller than the sum of its proper divisors (717056).

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

398448 is a wasteful number, since it uses less digits than its factorization.

398448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2772 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 398448 is about 631.2273758322. The cubic root of 398448 is about 73.5852128453.

The spelling of 398448 in words is "three hundred ninety-eight thousand, four hundred forty-eight".