338280 has 32 divisors (see below), whose sum is σ = 1015200. Its totient is φ = 90176.

The previous prime is 338279. The next prime is 338287. The reversal of 338280 is 82833.

It is a super-2 number, since 2×338280² = 228866716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 338280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338287) 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, 1290 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (31725).

2³³⁸²⁸⁰ is an apocalyptic number.

338280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338280 is an abundant number, since it is smaller than the sum of its proper divisors (676920).

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

338280 is a wasteful number, since it uses less digits than its factorization.

338280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 338280 is about 581.6184316199. The cubic root of 338280 is about 69.6774273751.

It can be divided in two parts, 3 and 38280, that added together give a palindrome (38283).

The spelling of 338280 in words is "three hundred thirty-eight thousand, two hundred eighty".