414504225 has 36 divisors (see below), whose sum is σ = 746027152. Its totient is φ = 219996000.

The previous prime is 414504203. The next prime is 414504281. The reversal of 414504225 is 522405414.

It is not a de Polignac number, because 414504225 - 2¹⁷ = 414373153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 43110 + ... + 51840.

Almost surely, 2^414504225 is an apocalyptic number.

414504225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414504225 is a deficient number, since it is larger than the sum of its proper divisors (331522927).

414504225 is a wasteful number, since it uses less digits than its factorization.

414504225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 414504225 is about 20359.3768323100. The cubic root of 414504225 is about 745.6064458336.

Adding to 414504225 its reverse (522405414), we get a palindrome (936909639).

The spelling of 414504225 in words is "four hundred fourteen million, five hundred four thousand, two hundred twenty-five".