338122440 has 48 divisors (see below), whose sum is σ = 1098899100. Its totient is φ = 90165888.

The previous prime is 338122429. The next prime is 338122441. The reversal of 338122440 is 44221833.

It can be written as a sum of positive squares in 2 ways, for example, as 332041284 + 6081156 = 18222^2 + 2466^2 .

It is a super-2 number, since 2×338122440² = 228653568863107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338122441) 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 11 ways as a sum of consecutive naturals, for example, 469255 + ... + 469974.

Almost surely, 2^338122440 is an apocalyptic number.

338122440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338122440 is an abundant number, since it is smaller than the sum of its proper divisors (760776660).

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

338122440 is a wasteful number, since it uses less digits than its factorization.

338122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939246 (or 939239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 338122440 is about 18388.1059383505. The cubic root of 338122440 is about 696.6660785640. Note that the first 3 decimals are identical.

The spelling of 338122440 in words is "three hundred thirty-eight million, one hundred twenty-two thousand, four hundred forty".