338404407 has 8 divisors (see below), whose sum is σ = 492224640. Its totient is φ = 205093560.

The previous prime is 338404403. The next prime is 338404427. The reversal of 338404407 is 704404833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 338404407 - 2² = 338404403 is a prime.

It is a super-2 number, since 2×338404407² = 229035085354043298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 10254679 = 338404407 / (3 + 3 + 8 + 4 + 0 + 4 + 4 + 0 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338404403) 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, 5127307 + ... + 5127372.

It is an arithmetic number, because the mean of its divisors is an integer number (61528080).

Almost surely, 2^338404407 is an apocalyptic number.

338404407 is a deficient number, since it is larger than the sum of its proper divisors (153820233).

338404407 is a wasteful number, since it uses less digits than its factorization.

338404407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10254693.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 338404407 is about 18395.7714434595. The cubic root of 338404407 is about 696.8596793055.

The spelling of 338404407 in words is "three hundred thirty-eight million, four hundred four thousand, four hundred seven".