4217724225 has 216 divisors, whose sum is σ = 9481877496. Its totient is φ = 1774080000.

The previous prime is 4217724197. The next prime is 4217724227. The reversal of 4217724225 is 5224277124.

4217724225 is a `hidden beast` number, since 421 + 7 + 7 + 2 + 4 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 578739249 + 3638984976 = 24057^2 + 60324^2 .

It is not a de Polignac number, because 4217724225 - 2⁷ = 4217724097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4217724225.

It is not an unprimeable number, because it can be changed into a prime (4217724227) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6016375 + ... + 6017075.

It is an arithmetic number, because the mean of its divisors is an integer number (43897581).

Almost surely, 2^4217724225 is an apocalyptic number.

4217724225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4217724225 is an abundant number, since it is smaller than the sum of its proper divisors (5264153271).

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

4217724225 is a wasteful number, since it uses less digits than its factorization.

4217724225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 4217724225 is about 64944.0083841458. The cubic root of 4217724225 is about 1615.6950460049.

The spelling of 4217724225 in words is "four billion, two hundred seventeen million, seven hundred twenty-four thousand, two hundred twenty-five".