417630121 has 8 divisors (see below), whose sum is σ = 422037000. Its totient is φ = 413233920.

The previous prime is 417630119. The next prime is 417630133. The reversal of 417630121 is 121036714.

It can be written as a sum of positive squares in 4 ways, for example, as 25 + 417630096 = 5^2 + 20436^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417630121 - 2¹ = 417630119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417630151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93855 + ... + 98203.

It is an arithmetic number, because the mean of its divisors is an integer number (52754625).

Almost surely, 2^417630121 is an apocalyptic number.

It is an amenable number.

417630121 is a deficient number, since it is larger than the sum of its proper divisors (4406879).

417630121 is a wasteful number, since it uses less digits than its factorization.

417630121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 417630121 is about 20436.0006116657. Note that the first 3 decimals coincide. The cubic root of 417630121 is about 747.4760317889.

Subtracting from 417630121 its sum of digits (25), we obtain a square (417630096 = 20436²).

Adding to 417630121 its reverse (121036714), we get a palindrome (538666835).

The spelling of 417630121 in words is "four hundred seventeen million, six hundred thirty thousand, one hundred twenty-one".