414444414 has 16 divisors (see below), whose sum is σ = 829115280. Its totient is φ = 138110400.

The previous prime is 414444413. The next prime is 414444421.

414444414 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414444413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22864 + ... + 36764.

It is an arithmetic number, because the mean of its divisors is an integer number (51819705).

Almost surely, 2^414444414 is an apocalyptic number.

414444414 is an abundant number, since it is smaller than the sum of its proper divisors (414670866).

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

414444414 is a wasteful number, since it uses less digits than its factorization.

414444414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18875.

The product of its digits is 16384, while the sum is 30.

The square root of 414444414 is about 20357.9078984065. The cubic root of 414444414 is about 745.5705816135.

The spelling of 414444414 in words is "four hundred fourteen million, four hundred forty-four thousand, four hundred fourteen".