414144419 has 8 divisors (see below), whose sum is σ = 446556432. Its totient is φ = 381811680.

The previous prime is 414144413. The next prime is 414144443. The reversal of 414144419 is 914441414.

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

It is a cyclic number.

It is not a de Polignac number, because 414144419 - 2⁸ = 414144163 is a prime.

It is a super-2 number, since 2×414144419² = 343031199577695122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414144413) 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 7 ways as a sum of consecutive naturals, for example, 8729 + ... + 30074.

It is an arithmetic number, because the mean of its divisors is an integer number (55819554).

Almost surely, 2^414144419 is an apocalyptic number.

414144419 is a deficient number, since it is larger than the sum of its proper divisors (32412013).

414144419 is a wasteful number, since it uses less digits than its factorization.

414144419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39637.

The product of its digits is 9216, while the sum is 32.

The square root of 414144419 is about 20350.5385432425. The cubic root of 414144419 is about 745.3906447889.

The spelling of 414144419 in words is "four hundred fourteen million, one hundred forty-four thousand, four hundred nineteen".