338400412 has 48 divisors (see below), whose sum is σ = 717776640. Its totient is φ = 136363392.

The previous prime is 338400373. The next prime is 338400443. The reversal of 338400412 is 214004833.

It is a super-2 number, since 2×338400412² = 229029677683539488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70563 + ... + 75205.

It is an arithmetic number, because the mean of its divisors is an integer number (14953680).

Almost surely, 2^338400412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358888320).

338400412 is an abundant number, since it is smaller than the sum of its proper divisors (379376228).

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

338400412 is a wasteful number, since it uses less digits than its factorization.

338400412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 338400412 is about 18395.6628584022. The cubic root of 338400412 is about 696.8569370585.

The spelling of 338400412 in words is "three hundred thirty-eight million, four hundred thousand, four hundred twelve".