506412666 has 48 divisors (see below), whose sum is σ = 1162085184. Its totient is φ = 159046272.

The previous prime is 506412629. The next prime is 506412671. The reversal of 506412666 is 666214605.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 506412666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18610 + ... + 36866.

It is an arithmetic number, because the mean of its divisors is an integer number (24210108).

Almost surely, 2^506412666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506412666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581042592).

506412666 is an abundant number, since it is smaller than the sum of its proper divisors (655672518).

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

506412666 is a wasteful number, since it uses less digits than its factorization.

506412666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18355 (or 18352 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 506412666 is about 22503.6145096738. The cubic root of 506412666 is about 797.0792799280.

The spelling of 506412666 in words is "five hundred six million, four hundred twelve thousand, six hundred sixty-six".