398468 has 36 divisors (see below), whose sum is σ = 861840. Its totient is φ = 160272.

The previous prime is 398467. The next prime is 398471. The reversal of 398468 is 864893.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (41472) is a multiple of the sum of its prime factors (144).

It is a nialpdrome in base 9 and base 14.

It is not an unprimeable number, because it can be changed into a prime (398467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3671 + ... + 3777.

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

2³⁹⁸⁴⁶⁸ is an apocalyptic number.

398468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

398468 is an abundant number, since it is smaller than the sum of its proper divisors (463372).

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

398468 is a wasteful number, since it uses less digits than its factorization.

398468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 398468 is about 631.2432177853. The cubic root of 398468 is about 73.5864440219.

The spelling of 398468 in words is "three hundred ninety-eight thousand, four hundred sixty-eight".