338858560 has 56 divisors (see below), whose sum is σ = 811703736. Its totient is φ = 134737920.

The previous prime is 338858557. The next prime is 338858561. The reversal of 338858560 is 65858833.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 300814336 = 6168^2 + 17344^2 .

It is a super-2 number, since 2×338858560² = 229650247370547200, 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 338858560.

It is not an unprimeable number, because it can be changed into a prime (338858561) 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, 52300 + ... + 58420.

Almost surely, 2^338858560 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 338858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405851868).

338858560 is an abundant number, since it is smaller than the sum of its proper divisors (472845176).

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

338858560 is a wasteful number, since it uses less digits than its factorization.

338858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The square root of 338858560 is about 18408.1112556395. Note that the first 3 decimals coincide. The cubic root of 338858560 is about 697.1712783233.

The spelling of 338858560 in words is "three hundred thirty-eight million, eight hundred fifty-eight thousand, five hundred sixty".