338429907 has 20 divisors (see below), whose sum is σ = 506922240. Its totient is φ = 225010224.

The previous prime is 338429899. The next prime is 338429921. The reversal of 338429907 is 709924833.

It is a happy number.

It is not a de Polignac number, because 338429907 - 2³ = 338429899 is a prime.

It is a super-2 number, since 2×338429907² = 229069603904057298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338429977) 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 19 ways as a sum of consecutive naturals, for example, 25569 + ... + 36477.

It is an arithmetic number, because the mean of its divisors is an integer number (25346112).

Almost surely, 2^338429907 is an apocalyptic number.

338429907 is a deficient number, since it is larger than the sum of its proper divisors (168492333).

338429907 is a wasteful number, since it uses less digits than its factorization.

338429907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 338429907 is about 18396.4645244677. The cubic root of 338429907 is about 696.8771825010.

The spelling of 338429907 in words is "three hundred thirty-eight million, four hundred twenty-nine thousand, nine hundred seven".