414305041 has 16 divisors (see below), whose sum is σ = 432307008. Its totient is φ = 396748800.

The previous prime is 414305039. The next prime is 414305053. The reversal of 414305041 is 140503414.

It is not a de Polignac number, because 414305041 - 2¹ = 414305039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414305341) 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 15 ways as a sum of consecutive naturals, for example, 717745 + ... + 718321.

It is an arithmetic number, because the mean of its divisors is an integer number (27019188).

Almost surely, 2^414305041 is an apocalyptic number.

414305041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414305041 is a deficient number, since it is larger than the sum of its proper divisors (18001967).

414305041 is a wasteful number, since it uses less digits than its factorization.

414305041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 414305041 is about 20354.4845427242. The cubic root of 414305041 is about 745.4869965733.

Adding to 414305041 its reverse (140503414), we get a palindrome (554808455).

The spelling of 414305041 in words is "four hundred fourteen million, three hundred five thousand, forty-one".