417215616 has 64 divisors (see below), whose sum is σ = 1131857280. Its totient is φ = 136107008.

The previous prime is 417215597. The next prime is 417215621. The reversal of 417215616 is 616512714.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6490 + ... + 29606.

It is an arithmetic number, because the mean of its divisors is an integer number (17685270).

Almost surely, 2^417215616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417215616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565928640).

417215616 is an abundant number, since it is smaller than the sum of its proper divisors (714641664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417215616 is a wasteful number, since it uses less digits than its factorization.

417215616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23181 (or 23169 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 417215616 is about 20425.8565548669. The cubic root of 417215616 is about 747.2286557032.

The spelling of 417215616 in words is "four hundred seventeen million, two hundred fifteen thousand, six hundred sixteen".