414409338 has 64 divisors (see below), whose sum is σ = 1068241920. Its totient is φ = 116628336.

The previous prime is 414409313. The next prime is 414409339. The reversal of 414409338 is 833904414.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414409339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17145 + ... + 33507.

It is an arithmetic number, because the mean of its divisors is an integer number (16691280).

Almost surely, 2^414409338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414409338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534120960).

414409338 is an abundant number, since it is smaller than the sum of its proper divisors (653832582).

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

414409338 is a wasteful number, since it uses less digits than its factorization.

414409338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16442 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 414409338 is about 20357.0463967639. The cubic root of 414409338 is about 745.5495475330.

The spelling of 414409338 in words is "four hundred fourteen million, four hundred nine thousand, three hundred thirty-eight".