338974405 has 48 divisors (see below), whose sum is σ = 523571904. Its totient is φ = 208293120.

The previous prime is 338974403. The next prime is 338974423. The reversal of 338974405 is 504479833.

It is not a de Polignac number, because 338974405 - 2¹ = 338974403 is a prime.

It is a super-2 number, since 2×338974405² = 229807294490208050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338974403) 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, 195874 + ... + 197596.

It is an arithmetic number, because the mean of its divisors is an integer number (10907748).

Almost surely, 2^338974405 is an apocalyptic number.

338974405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338974405 is a deficient number, since it is larger than the sum of its proper divisors (184597499).

338974405 is a wasteful number, since it uses less digits than its factorization.

338974405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 338974405 is about 18411.2575616116. The cubic root of 338974405 is about 697.2507161915.

The spelling of 338974405 in words is "three hundred thirty-eight million, nine hundred seventy-four thousand, four hundred five".