338603148 has 144 divisors (see below), whose sum is σ = 975985920. Its totient is φ = 98195328.

The previous prime is 338603147. The next prime is 338603179. The reversal of 338603148 is 841306833.

It is a happy number.

338603148 is a `hidden beast` number, since 3 + 3 + 8 + 603 + 1 + 48 = 666.

It is a super-3 number, since 3×338603148³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (338603141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893223 + ... + 893601.

It is an arithmetic number, because the mean of its divisors is an integer number (6777680).

Almost surely, 2^338603148 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 338603148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487992960).

338603148 is an abundant number, since it is smaller than the sum of its proper divisors (637382772).

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

338603148 is a wasteful number, since it uses less digits than its factorization.

338603148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 338603148 is about 18401.1724626449. The cubic root of 338603148 is about 696.9960718223.

The spelling of 338603148 in words is "three hundred thirty-eight million, six hundred three thousand, one hundred forty-eight".