415041224 has 32 divisors (see below), whose sum is σ = 839152440. Its totient is φ = 191308800.

The previous prime is 415041199. The next prime is 415041227. The reversal of 415041224 is 422140514.

It can be written as a sum of positive squares in 4 ways, for example, as 399280324 + 15760900 = 19982^2 + 3970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 415041224.

It is not an unprimeable number, because it can be changed into a prime (415041227) 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, 95744 + ... + 99984.

Almost surely, 2^415041224 is an apocalyptic number.

It is an amenable number.

415041224 is an abundant number, since it is smaller than the sum of its proper divisors (424111216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415041224 is a wasteful number, since it uses less digits than its factorization.

415041224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 415041224 is about 20372.5605656236. The cubic root of 415041224 is about 745.9282898676.

Adding to 415041224 its reverse (422140514), we get a palindrome (837181738).

The spelling of 415041224 in words is "four hundred fifteen million, forty-one thousand, two hundred twenty-four".