398480 has 40 divisors (see below), whose sum is σ = 984312. Its totient is φ = 149504.

The previous prime is 398477. The next prime is 398491. The reversal of 398480 is 84893.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 215296 = 428^2 + 464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

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 398480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214 + ... + 1506.

2³⁹⁸⁴⁸⁰ 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 398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156).

398480 is an abundant number, since it is smaller than the sum of its proper divisors (585832).

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

398480 is a wasteful number, since it uses less digits than its factorization.

398480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 398480 is about 631.2527227664. The cubic root of 398480 is about 73.5871827082.

It can be divided in two parts, 398 and 480, that added together give a palindrome (878).

The spelling of 398480 in words is "three hundred ninety-eight thousand, four hundred eighty".