409137225 has 96 divisors (see below), whose sum is σ = 833470464. Its totient is φ = 172972800.

The previous prime is 409137221. The next prime is 409137233. The reversal of 409137225 is 522731904.

It is not a de Polignac number, because 409137225 - 2² = 409137221 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409137221) 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, 373779 + ... + 374871.

It is an arithmetic number, because the mean of its divisors is an integer number (8681984).

Almost surely, 2^409137225 is an apocalyptic number.

It is an amenable number.

409137225 is an abundant number, since it is smaller than the sum of its proper divisors (424333239).

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

409137225 is a wasteful number, since it uses less digits than its factorization.

409137225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 409137225 is about 20227.1408014084. The cubic root of 409137225 is about 742.3744190112.

The spelling of 409137225 in words is "four hundred nine million, one hundred thirty-seven thousand, two hundred twenty-five".