398592 has 54 divisors (see below), whose sum is σ = 1155882. Its totient is φ = 132096.

The previous prime is 398591. The next prime is 398609. The reversal of 398592 is 295893.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 9216 = 624^2 + 96^2 .

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

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 398592.

It is not an unprimeable number, because it can be changed into a prime (398591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2218 + ... + 2390.

2³⁹⁸⁵⁹² is an apocalyptic number.

398592 is a gapful number since it is divisible by the number (32) 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 398592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577941).

398592 is an abundant number, since it is smaller than the sum of its proper divisors (757290).

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

398592 is a wasteful number, since it uses less digits than its factorization.

398592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 398592 is about 631.3414290224. The cubic root of 398592 is about 73.5940763979.

It can be divided in two parts, 398 and 592, that added together give a triangular number (990 = T₄₄).

The spelling of 398592 in words is "three hundred ninety-eight thousand, five hundred ninety-two".