417248725 has 12 divisors (see below), whose sum is σ = 517662180. Its totient is φ = 333622400.

The previous prime is 417248693. The next prime is 417248729. The reversal of 417248725 is 527842714.

It can be written as a sum of positive squares in 6 ways, for example, as 61058596 + 356190129 = 7814^2 + 18873^2 .

It is not a de Polignac number, because 417248725 - 2⁵ = 417248693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417248729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65481 + ... + 71569.

It is an arithmetic number, because the mean of its divisors is an integer number (43138515).

Almost surely, 2^417248725 is an apocalyptic number.

It is an amenable number.

417248725 is a deficient number, since it is larger than the sum of its proper divisors (100413455).

417248725 is a wasteful number, since it uses less digits than its factorization.

417248725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8840 (or 8835 counting only the distinct ones).

The product of its digits is 125440, while the sum is 40.

The square root of 417248725 is about 20426.6670066362. The cubic root of 417248725 is about 747.2484211340.

The spelling of 417248725 in words is "four hundred seventeen million, two hundred forty-eight thousand, seven hundred twenty-five".