338424 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 110432.

The previous prime is 338423. The next prime is 338431. The reversal of 338424 is 424833.

It is a super-2 number, since 2×338424² = 229061607552, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 338394 and 338403.

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 338424.

It is not an unprimeable number, because it can be changed into a prime (338423) 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, 1297 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2³³⁸⁴²⁴ 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 338424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

338424 is an abundant number, since it is smaller than the sum of its proper divisors (525576).

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

338424 is a wasteful number, since it uses less digits than its factorization.

338424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 338424 is about 581.7422109491. The cubic root of 338424 is about 69.6873128016.

The spelling of 338424 in words is "three hundred thirty-eight thousand, four hundred twenty-four".