417949225 has 12 divisors (see below), whose sum is σ = 532265164. Its totient is φ = 325321920.

The previous prime is 417949219. The next prime is 417949237. The reversal of 417949225 is 522949714.

It can be written as a sum of positive squares in 6 ways, for example, as 47155689 + 370793536 = 6867^2 + 19256^2 .

It is not a de Polignac number, because 417949225 - 2¹⁷ = 417818153 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224994 + ... + 226843.

Almost surely, 2^417949225 is an apocalyptic number.

It is an amenable number.

417949225 is a deficient number, since it is larger than the sum of its proper divisors (114315939).

417949225 is a wasteful number, since it uses less digits than its factorization.

417949225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451884 (or 451879 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 417949225 is about 20443.8065193349. The cubic root of 417949225 is about 747.6663611857. Note that the first 3 decimals are identical.

The spelling of 417949225 in words is "four hundred seventeen million, nine hundred forty-nine thousand, two hundred twenty-five".