416666112 has 80 divisors (see below), whose sum is σ = 1128475392. Its totient is φ = 136581120.

The previous prime is 416666111. The next prime is 416666153. The reversal of 416666112 is 211666614.

It is a happy number.

It is a super-2 number, since 2×416666112² = 347221297778393088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (416666111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91473 + ... + 95919.

Almost surely, 2^416666112 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 416666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564237696).

416666112 is an abundant number, since it is smaller than the sum of its proper divisors (711809280).

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

416666112 is an equidigital number, since it uses as much as digits as its factorization.

416666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4513 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 416666112 is about 20412.4009366855. The cubic root of 416666112 is about 746.9004596679.

The spelling of 416666112 in words is "four hundred sixteen million, six hundred sixty-six thousand, one hundred twelve".