338980 has 24 divisors (see below), whose sum is σ = 754488. Its totient is φ = 127488.

The previous prime is 338959. The next prime is 338993. The reversal of 338980 is 89833.

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 207936 = 362^2 + 456^2 .

It is a super-2 number, since 2×338980² = 229814880800, which contains 22 as substring.

It is an unprimeable number.

338980 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 159 + ... + 838.

It is an arithmetic number, because the mean of its divisors is an integer number (31437).

2³³⁸⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

338980 is an abundant number, since it is smaller than the sum of its proper divisors (415508).

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

338980 is a wasteful number, since it uses less digits than its factorization.

338980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 338980 is about 582.2198897324. The cubic root of 338980 is about 69.7254552367.

It can be divided in two parts, 3 and 38980, that added together give a palindrome (38983).

The spelling of 338980 in words is "three hundred thirty-eight thousand, nine hundred eighty".