338662480 has 120 divisors (see below), whose sum is σ = 876955032. Its totient is φ = 121485312.

The previous prime is 338662463. The next prime is 338662529. The reversal of 338662480 is 84266833.

It can be written as a sum of positive squares in 12 ways, for example, as 24522304 + 314140176 = 4952^2 + 17724^2 .

It is a super-2 number, since 2×338662480² = 229384550719500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 499902 + ... + 500578.

Almost surely, 2^338662480 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 338662480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438477516).

338662480 is an abundant number, since it is smaller than the sum of its proper divisors (538292552).

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

338662480 is a wasteful number, since it uses less digits than its factorization.

338662480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 338662480 is about 18402.7845719065. The cubic root of 338662480 is about 697.0367800043.

The spelling of 338662480 in words is "three hundred thirty-eight million, six hundred sixty-two thousand, four hundred eighty".