412517616 has 80 divisors (see below), whose sum is σ = 1238611200. Its totient is φ = 115858944.

The previous prime is 412517591. The next prime is 412517617. The reversal of 412517616 is 616715214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412517617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9420 + ... + 30228.

It is an arithmetic number, because the mean of its divisors is an integer number (15482640).

Almost surely, 2^412517616 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 412517616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619305600).

412517616 is an abundant number, since it is smaller than the sum of its proper divisors (826093584).

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

412517616 is a wasteful number, since it uses less digits than its factorization.

412517616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20886 (or 20880 counting only the distinct ones).

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

The square root of 412517616 is about 20310.5296829009. The cubic root of 412517616 is about 744.4133730124.

The spelling of 412517616 in words is "four hundred twelve million, five hundred seventeen thousand, six hundred sixteen".