398336 has 22 divisors (see below), whose sum is σ = 798330. Its totient is φ = 198656.

The previous prime is 398323. The next prime is 398339. The reversal of 398336 is 633893.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 102400 = 544^2 + 320^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398339) by changing a digit.

398336 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 as a sum of consecutive naturals, namely, 830 + ... + 1218.

2³⁹⁸³³⁶ 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 398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399165).

398336 is an abundant number, since it is smaller than the sum of its proper divisors (399994).

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

398336 is an equidigital number, since it uses as much as digits as its factorization.

398336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 398336 is about 631.1386535461. The cubic root of 398336 is about 73.5783174945.

The spelling of 398336 in words is "three hundred ninety-eight thousand, three hundred thirty-six".