417327825 has 24 divisors (see below), whose sum is σ = 690679008. Its totient is φ = 222350080.

The previous prime is 417327821. The next prime is 417327851. The reversal of 417327825 is 528723714.

It is not a de Polignac number, because 417327825 - 2² = 417327821 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (417327821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94057 + ... + 98393.

It is an arithmetic number, because the mean of its divisors is an integer number (28778292).

Almost surely, 2^417327825 is an apocalyptic number.

It is an amenable number.

417327825 is a deficient number, since it is larger than the sum of its proper divisors (273351183).

417327825 is a wasteful number, since it uses less digits than its factorization.

417327825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5628 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 417327825 is about 20428.6031093660. The cubic root of 417327825 is about 747.2956380671.

The spelling of 417327825 in words is "four hundred seventeen million, three hundred twenty-seven thousand, eight hundred twenty-five".