398376 has 48 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 120480.

The previous prime is 398369. The next prime is 398393. The reversal of 398376 is 673893.

398376 is nontrivially palindromic in base 5.

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

It is a d-powerful number, because it can be written as 3³ + 9 + 3⁵ + 8³ + 7⁶ + 6⁷ .

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 398376.

It is an unprimeable number.

398376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2³⁹⁸³⁷⁶ is an apocalyptic number.

398376 is a gapful number since it is divisible by the number (36) 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 398376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

398376 is an abundant number, since it is smaller than the sum of its proper divisors (780984).

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

398376 is a wasteful number, since it uses less digits than its factorization.

398376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 398376 is about 631.1703415085. The cubic root of 398376 is about 73.5807802681.

The spelling of 398376 in words is "three hundred ninety-eight thousand, three hundred seventy-six".