456216066 has 24 divisors (see below), whose sum is σ = 989059500. Its totient is φ = 151981056.

The previous prime is 456216053. The next prime is 456216071. The reversal of 456216066 is 660612654.

It is a happy number.

456216066 is a `hidden beast` number, since 45 + 6 + 2 + 1 + 606 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 453051225 + 3164841 = 21285^2 + 1779^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 456216066.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27810 + ... + 41058.

Almost surely, 2^456216066 is an apocalyptic number.

456216066 is an abundant number, since it is smaller than the sum of its proper divisors (532843434).

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

456216066 is a wasteful number, since it uses less digits than its factorization.

456216066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15170 (or 15167 counting only the distinct ones).

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

The square root of 456216066 is about 21359.2150136656. The cubic root of 456216066 is about 769.8217758088.

The spelling of 456216066 in words is "four hundred fifty-six million, two hundred sixteen thousand, sixty-six".