416166012 has 60 divisors (see below), whose sum is σ = 1111128480. Its totient is φ = 135765504.

The previous prime is 416166007. The next prime is 416166013. The reversal of 416166012 is 210661614.

416166012 is a `hidden beast` number, since 41 + 6 + 16 + 601 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416166013) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1564 + ... + 28892.

It is an arithmetic number, because the mean of its divisors is an integer number (18518808).

Almost surely, 2^416166012 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 416166012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555564240).

416166012 is an abundant number, since it is smaller than the sum of its proper divisors (694962468).

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

416166012 is a wasteful number, since it uses less digits than its factorization.

416166012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27392 (or 27381 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 416166012 is about 20400.1473524090. The cubic root of 416166012 is about 746.6015197023.

The spelling of 416166012 in words is "four hundred sixteen million, one hundred sixty-six thousand, twelve".