338550 has 48 divisors (see below), whose sum is σ = 876432. Its totient is φ = 86400.

The previous prime is 338543. The next prime is 338563. The reversal of 338550 is 55833.

It is a super-2 number, since 2×338550² = 229232205000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5520 + ... + 5580.

It is an arithmetic number, because the mean of its divisors is an integer number (18259).

2³³⁸⁵⁵⁰ is an apocalyptic number.

338550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438216).

338550 is an abundant number, since it is smaller than the sum of its proper divisors (537882).

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

338550 is a wasteful number, since it uses less digits than its factorization.

338550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 338550 is about 581.8504962617. The cubic root of 338550 is about 69.6959602496.

It can be divided in two parts, 338 and 550, that added together give a palindrome (888).

The spelling of 338550 in words is "three hundred thirty-eight thousand, five hundred fifty".