166440456 has 288 divisors, whose sum is σ = 597542400. Its totient is φ = 41368320.

The previous prime is 166440451. The next prime is 166440499. The reversal of 166440456 is 654044661.

166440456 is a `hidden beast` number, since 1 + 6 + 644 + 0 + 4 + 5 + 6 = 666.

166440456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166440456.

It is not an unprimeable number, because it can be changed into a prime (166440451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871321 + ... + 871511.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2^166440456 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 166440456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

166440456 is an abundant number, since it is smaller than the sum of its proper divisors (431101944).

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

166440456 is a wasteful number, since it uses less digits than its factorization.

166440456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 166440456 is about 12901.1804111097. The cubic root of 166440456 is about 550.0721183668.

The spelling of 166440456 in words is "one hundred sixty-six million, four hundred forty thousand, four hundred fifty-six".