422712225 has 72 divisors (see below), whose sum is σ = 863429112. Its totient is φ = 195840000.

The previous prime is 422712221. The next prime is 422712233. The reversal of 422712225 is 522217224.

422712225 is a `hidden beast` number, since 422 + 7 + 12 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 229613409 + 193098816 = 15153^2 + 13896^2 .

It is not a de Polignac number, because 422712225 - 2² = 422712221 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422712221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45475 + ... + 53975.

It is an arithmetic number, because the mean of its divisors is an integer number (11992071).

Almost surely, 2^422712225 is an apocalyptic number.

422712225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422712225 is an abundant number, since it is smaller than the sum of its proper divisors (440716887).

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

422712225 is a wasteful number, since it uses less digits than its factorization.

422712225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547 (or 8539 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 422712225 is about 20559.9665612569. The cubic root of 422712225 is about 750.4958054970.

Adding to 422712225 its reverse (522217224), we get a palindrome (944929449).

The spelling of 422712225 in words is "four hundred twenty-two million, seven hundred twelve thousand, two hundred twenty-five".