414045441 has 12 divisors (see below), whose sum is σ = 618688980. Its totient is φ = 266511840.

The previous prime is 414045433. The next prime is 414045481. The reversal of 414045441 is 144540414.

It can be written as a sum of positive squares in 2 ways, for example, as 79923600 + 334121841 = 8940^2 + 18279^2 .

It is not a de Polignac number, because 414045441 - 2³ = 414045433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414045481) 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 11 ways as a sum of consecutive naturals, for example, 792930 + ... + 793451.

It is an arithmetic number, because the mean of its divisors is an integer number (51557415).

Almost surely, 2^414045441 is an apocalyptic number.

It is an amenable number.

414045441 is a deficient number, since it is larger than the sum of its proper divisors (204643539).

414045441 is a wasteful number, since it uses less digits than its factorization.

414045441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586416 (or 1586413 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 414045441 is about 20348.1065703913. The cubic root of 414045441 is about 745.3312587792.

Adding to 414045441 its reverse (144540414), we get a palindrome (558585855).

The spelling of 414045441 in words is "four hundred fourteen million, forty-five thousand, four hundred forty-one".