338081480 has 128 divisors (see below), whose sum is σ = 862202880. Its totient is φ = 118245120.

The previous prime is 338081477. The next prime is 338081483. The reversal of 338081480 is 84180833.

It is an interprime number because it is at equal distance from previous prime (338081477) and next prime (338081483).

It is a super-2 number, since 2×338081480² = 228598174237980800, 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 338081480.

It is not an unprimeable number, because it can be changed into a prime (338081483) 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 31 ways as a sum of consecutive naturals, for example, 2024357 + ... + 2024523.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2^338081480 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 338081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431101440).

338081480 is an abundant number, since it is smaller than the sum of its proper divisors (524121400).

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

338081480 is a wasteful number, since it uses less digits than its factorization.

338081480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 338081480 is about 18386.9921411850. The cubic root of 338081480 is about 696.6379461564.

The spelling of 338081480 in words is "three hundred thirty-eight million, eighty-one thousand, four hundred eighty".