414045728 has 24 divisors (see below), whose sum is σ = 816546780. Its totient is φ = 206668800.

The previous prime is 414045721. The next prime is 414045787. The reversal of 414045728 is 827540414.

It can be written as a sum of positive squares in 2 ways, for example, as 414041104 + 4624 = 20348^2 + 68^2 .

It is not an unprimeable number, because it can be changed into a prime (414045721) 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 3 ways as a sum of consecutive naturals, for example, 8468 + ... + 29996.

Almost surely, 2^414045728 is an apocalyptic number.

It is an amenable number.

414045728 is a deficient number, since it is larger than the sum of its proper divisors (402501052).

414045728 is a wasteful number, since it uses less digits than its factorization.

414045728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 22132 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 414045728 is about 20348.1136226433. The cubic root of 414045728 is about 745.3314309906.

The spelling of 414045728 in words is "four hundred fourteen million, forty-five thousand, seven hundred twenty-eight".