414344521 has 8 divisors (see below), whose sum is σ = 422770824. Its totient is φ = 406003200.

The previous prime is 414344507. The next prime is 414344531. The reversal of 414344521 is 125443414.

It can be written as a sum of positive squares in 4 ways, for example, as 105288121 + 309056400 = 10261^2 + 17580^2 .

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

It is not a de Polignac number, because 414344521 - 2⁷ = 414344393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414344521.

It is not an unprimeable number, because it can be changed into a prime (414344531) 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, 11350 + ... + 30943.

It is an arithmetic number, because the mean of its divisors is an integer number (52846353).

Almost surely, 2^414344521 is an apocalyptic number.

It is an amenable number.

414344521 is a deficient number, since it is larger than the sum of its proper divisors (8426303).

414344521 is a wasteful number, since it uses less digits than its factorization.

414344521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42491.

The product of its digits is 7680, while the sum is 28.

The square root of 414344521 is about 20355.4543304737. The cubic root of 414344521 is about 745.5106754965.

Adding to 414344521 its reverse (125443414), we get a palindrome (539787935).

The spelling of 414344521 in words is "four hundred fourteen million, three hundred forty-four thousand, five hundred twenty-one".