412080816 has 160 divisors (see below), whose sum is σ = 1356341760. Its totient is φ = 104951808.

The previous prime is 412080787. The next prime is 412080817. The reversal of 412080816 is 618080214.

It is not an unprimeable number, because it can be changed into a prime (412080817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106630 + ... + 110426.

It is an arithmetic number, because the mean of its divisors is an integer number (8477136).

Almost surely, 2^412080816 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 412080816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678170880).

412080816 is an abundant number, since it is smaller than the sum of its proper divisors (944260944).

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

412080816 is a wasteful number, since it uses less digits than its factorization.

412080816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 412080816 is about 20299.7737918431. The cubic root of 412080816 is about 744.1505360789.

The spelling of 412080816 in words is "four hundred twelve million, eighty thousand, eight hundred sixteen".