398208 has 64 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 122880.

The previous prime is 398207. The next prime is 398213. The reversal of 398208 is 802893.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×398208² = 317139222528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6498 + ... + 6558.

2³⁹⁸²⁰⁸ 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 398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160).

398208 is an abundant number, since it is smaller than the sum of its proper divisors (740112).

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

398208 is a wasteful number, since it uses less digits than its factorization.

398208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 398208 is about 631.0372413733. The cubic root of 398208 is about 73.5704355108.

It can be divided in two parts, 398 and 208, that added together give a palindrome (606).

The spelling of 398208 in words is "three hundred ninety-eight thousand, two hundred eight".