413253225 has 96 divisors (see below), whose sum is σ = 946606080. Its totient is φ = 171720000.

The previous prime is 413253209. The next prime is 413253229. The reversal of 413253225 is 522352314.

It is a happy number.

413253225 is a `hidden beast` number, since 413 + 25 + 3 + 225 = 666.

It is not a de Polignac number, because 413253225 - 2⁴ = 413253209 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 (413253229) 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, 48000 + ... + 55950.

It is an arithmetic number, because the mean of its divisors is an integer number (9860480).

Almost surely, 2^413253225 is an apocalyptic number.

413253225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413253225 is an abundant number, since it is smaller than the sum of its proper divisors (533352855).

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

413253225 is a wasteful number, since it uses less digits than its factorization.

413253225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 7977 counting only the distinct ones).

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

The square root of 413253225 is about 20328.6306720349. The cubic root of 413253225 is about 744.8555941303.

The spelling of 413253225 in words is "four hundred thirteen million, two hundred fifty-three thousand, two hundred twenty-five".