413415225 has 96 divisors (see below), whose sum is σ = 818995200. Its totient is φ = 203860800.

The previous prime is 413415221. The next prime is 413415311. The reversal of 413415225 is 522514314.

413415225 is a `hidden beast` number, since 4 + 134 + 1 + 522 + 5 = 666.

It is not a de Polignac number, because 413415225 - 2² = 413415221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413415221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480846 + ... + 481704.

It is an arithmetic number, because the mean of its divisors is an integer number (8531200).

Almost surely, 2^413415225 is an apocalyptic number.

413415225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413415225 is a deficient number, since it is larger than the sum of its proper divisors (405579975).

413415225 is a wasteful number, since it uses less digits than its factorization.

413415225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 413415225 is about 20332.6148097091. The cubic root of 413415225 is about 744.9529120577.

Adding to 413415225 its reverse (522514314), we get a palindrome (935929539).

The spelling of 413415225 in words is "four hundred thirteen million, four hundred fifteen thousand, two hundred twenty-five".