398268 has 72 divisors (see below), whose sum is σ = 1161888. Its totient is φ = 114048.

The previous prime is 398267. The next prime is 398273. The reversal of 398268 is 862893.

398268 is a `hidden beast` number, since 398 + 268 = 666.

398268 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10746 + ... + 10782.

2³⁹⁸²⁶⁸ 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 398268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580944).

398268 is an abundant number, since it is smaller than the sum of its proper divisors (763620).

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

398268 is a wasteful number, since it uses less digits than its factorization.

398268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 398268 is about 631.0847803584. The cubic root of 398268 is about 73.5741304009.

It can be divided in two parts, 398 and 268, that added together give a palindrome (666).

The spelling of 398268 in words is "three hundred ninety-eight thousand, two hundred sixty-eight".