413352225 has 144 divisors (see below), whose sum is σ = 901817280. Its totient is φ = 178214400.

The previous prime is 413352217. The next prime is 413352227. The reversal of 413352225 is 522253314.

It is a happy number.

413352225 is a `hidden beast` number, since 4 + 133 + 522 + 2 + 5 = 666.

It is not a de Polignac number, because 413352225 - 2³ = 413352217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413352227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 932854 + ... + 933296.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2^413352225 is an apocalyptic number.

413352225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413352225 is an abundant number, since it is smaller than the sum of its proper divisors (488465055).

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

413352225 is a wasteful number, since it uses less digits than its factorization.

413352225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 413352225 is about 20331.0655156094. The cubic root of 413352225 is about 744.9150692185.

The spelling of 413352225 in words is "four hundred thirteen million, three hundred fifty-two thousand, two hundred twenty-five".