414404414 has 8 divisors (see below), whose sum is σ = 627761448. Its totient is φ = 205150600.

The previous prime is 414404413. The next prime is 414404489.

414404414 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414404413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1025552 + ... + 1025955.

It is an arithmetic number, because the mean of its divisors is an integer number (78470181).

Almost surely, 2^414404414 is an apocalyptic number.

414404414 is a deficient number, since it is larger than the sum of its proper divisors (213357034).

414404414 is a wasteful number, since it uses less digits than its factorization.

414404414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051610.

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 414404414 is about 20356.9254554807. The cubic root of 414404414 is about 745.5465946551.

It can be divided in two parts, 41440 and 4414, that added together give a palindrome (45854).

The spelling of 414404414 in words is "four hundred fourteen million, four hundred four thousand, four hundred fourteen".