338100409 has 16 divisors (see below), whose sum is σ = 350989200. Its totient is φ = 325518336.

The previous prime is 338100401. The next prime is 338100431. The reversal of 338100409 is 904001833.

It can be written as a sum of positive squares in 8 ways, for example, as 6969600 + 331130809 = 2640^2 + 18197^2 .

It is a cyclic number.

It is not a de Polignac number, because 338100409 - 2³ = 338100401 is a prime.

It is a super-2 number, since 2×338100409² = 228623773131934562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080037 + ... + 1080349.

It is an arithmetic number, because the mean of its divisors is an integer number (21936825).

Almost surely, 2^338100409 is an apocalyptic number.

It is an amenable number.

338100409 is a deficient number, since it is larger than the sum of its proper divisors (12888791).

338100409 is a wasteful number, since it uses less digits than its factorization.

338100409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 338100409 is about 18387.5068728743. The cubic root of 338100409 is about 696.6509473749.

The spelling of 338100409 in words is "three hundred thirty-eight million, one hundred thousand, four hundred nine".