414034441 has 8 divisors (see below), whose sum is σ = 430109568. Its totient is φ = 398244000.

The previous prime is 414034433. The next prime is 414034469. The reversal of 414034441 is 144430414.

It is a happy number.

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 414034441 - 2³ = 414034433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414004441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68205 + ... + 74026.

It is an arithmetic number, because the mean of its divisors is an integer number (53763696).

Almost surely, 2^414034441 is an apocalyptic number.

414034441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414034441 is a deficient number, since it is larger than the sum of its proper divisors (16075127).

414034441 is a wasteful number, since it uses less digits than its factorization.

414034441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142343.

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 414034441 is about 20347.8362731766. The cubic root of 414034441 is about 745.3246582827.

Adding to 414034441 its reverse (144430414), we get a palindrome (558464855).

The spelling of 414034441 in words is "four hundred fourteen million, thirty-four thousand, four hundred forty-one".