398352 has 40 divisors (see below), whose sum is σ = 1058464. Its totient is φ = 129024.

The previous prime is 398347. The next prime is 398353. The reversal of 398352 is 253893.

It is a happy number.

398352 is nontrivially palindromic in base 14.

It is not an unprimeable number, because it can be changed into a prime (398353) 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 7 ways as a sum of consecutive naturals, for example, 1968 + ... + 2160.

2³⁹⁸³⁵² 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 398352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529232).

398352 is an abundant number, since it is smaller than the sum of its proper divisors (660112).

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

398352 is a wasteful number, since it uses less digits than its factorization.

398352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 398352 is about 631.1513289220. The cubic root of 398352 is about 73.5793026238.

The spelling of 398352 in words is "three hundred ninety-eight thousand, three hundred fifty-two".