417812416 has 70 divisors (see below), whose sum is σ = 967577440. Its totient is φ = 178996608.

The previous prime is 417812407. The next prime is 417812419. The reversal of 417812416 is 614218714.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417812419) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 152305 + ... + 155023.

Almost surely, 2^417812416 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 417812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483788720).

417812416 is an abundant number, since it is smaller than the sum of its proper divisors (549765024).

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

417812416 is an frugal number, since it uses more digits than its factorization.

417812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2728 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 417812416 is about 20440.4602687904. The cubic root of 417812416 is about 747.5847734044.

The spelling of 417812416 in words is "four hundred seventeen million, eight hundred twelve thousand, four hundred sixteen".