417991025 has 12 divisors (see below), whose sum is σ = 523443804. Its totient is φ = 331080000.

The previous prime is 417990967. The next prime is 417991027. The reversal of 417991025 is 520199714.

It can be written as a sum of positive squares in 6 ways, for example, as 5779216 + 412211809 = 2404^2 + 20303^2 .

It is not a de Polignac number, because 417991025 - 2¹⁶ = 417925489 is a prime.

It is a Duffinian number.

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 417991025.

It is not an unprimeable number, because it can be changed into a prime (417991027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80246 + ... + 85295.

It is an arithmetic number, because the mean of its divisors is an integer number (43620317).

Almost surely, 2^417991025 is an apocalyptic number.

It is an amenable number.

417991025 is a deficient number, since it is larger than the sum of its proper divisors (105452779).

417991025 is a wasteful number, since it uses less digits than its factorization.

417991025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165652 (or 165647 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 417991025 is about 20444.8288082830. The cubic root of 417991025 is about 747.6912855946.

It can be divided in two parts, 41799 and 1025, that added together give a palindrome (42824).

The spelling of 417991025 in words is "four hundred seventeen million, nine hundred ninety-one thousand, twenty-five".