398088 has 64 divisors (see below), whose sum is σ = 1176000. Its totient is φ = 124416.

The previous prime is 398087. The next prime is 398113. The reversal of 398088 is 880893.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398088.

It is not an unprimeable number, because it can be changed into a prime (398087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4056 + ... + 4152.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2³⁹⁸⁰⁸⁸ is an apocalyptic number.

398088 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 398088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588000).

398088 is an abundant number, since it is smaller than the sum of its proper divisors (777912).

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

398088 is a wasteful number, since it uses less digits than its factorization.

398088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 398088 is about 630.9421526574. The cubic root of 398088 is about 73.5630446169.

The spelling of 398088 in words is "three hundred ninety-eight thousand, eighty-eight".