412166656 has 60 divisors (see below), whose sum is σ = 905336586. Its totient is φ = 187320320.

The previous prime is 412166617. The next prime is 412166659. The reversal of 412166656 is 656661214.

It can be written as a sum of positive squares in only one way, i.e., 409657600 + 2509056 = 20240^2 + 1584^2 .

It is not an unprimeable number, because it can be changed into a prime (412166659) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58626 + ... + 65278.

Almost surely, 2^412166656 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 412166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452668293).

412166656 is an abundant number, since it is smaller than the sum of its proper divisors (493169930).

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

412166656 is an equidigital number, since it uses as much as digits as its factorization.

412166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693 (or 6666 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 412166656 is about 20301.8879910219. The cubic root of 412166656 is about 744.2022034903.

The spelling of 412166656 in words is "four hundred twelve million, one hundred sixty-six thousand, six hundred fifty-six".