409608225 has 48 divisors (see below), whose sum is σ = 810364800. Its totient is φ = 201648960.

The previous prime is 409608223. The next prime is 409608233. The reversal of 409608225 is 522806904.

It is a happy number.

409608225 is a `hidden beast` number, since 40 + 9 + 608 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 409608225 - 2¹ = 409608223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409608225.

It is not an unprimeable number, because it can be changed into a prime (409608223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14565 + ... + 32114.

It is an arithmetic number, because the mean of its divisors is an integer number (16882600).

Almost surely, 2^409608225 is an apocalyptic number.

409608225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409608225 is a deficient number, since it is larger than the sum of its proper divisors (400756575).

409608225 is a wasteful number, since it uses less digits than its factorization.

409608225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46711 (or 46700 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 409608225 is about 20238.7802251025. The cubic root of 409608225 is about 742.6591843172.

The spelling of 409608225 in words is "four hundred nine million, six hundred eight thousand, two hundred twenty-five".