338480 has 20 divisors (see below), whose sum is σ = 787152. Its totient is φ = 135360.

The previous prime is 338477. The next prime is 338497. The reversal of 338480 is 84833.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×338480² = 229137420800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2036 + ... + 2195.

2³³⁸⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

338480 is an abundant number, since it is smaller than the sum of its proper divisors (448672).

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

338480 is a wasteful number, since it uses less digits than its factorization.

338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 338480 is about 581.7903402429. The cubic root of 338480 is about 69.6911563768.

It can be divided in two parts, 338 and 480, that added together give a palindrome (818).

The spelling of 338480 in words is "three hundred thirty-eight thousand, four hundred eighty".