166404456 has 64 divisors (see below), whose sum is σ = 467990400. Its totient is φ = 55462320.

The previous prime is 166404443. The next prime is 166404463. The reversal of 166404456 is 654404661.

166404456 is a `hidden beast` number, since 1 + 6 + 640 + 4 + 4 + 5 + 6 = 666.

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 166404456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12741 + ... + 22251.

It is an arithmetic number, because the mean of its divisors is an integer number (7312350).

Almost surely, 2^166404456 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 166404456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233995200).

166404456 is an abundant number, since it is smaller than the sum of its proper divisors (301585944).

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

166404456 is an frugal number, since it uses more digits than its factorization.

166404456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9516 counting only the distinct ones).

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

The square root of 166404456 is about 12899.7851144893. The cubic root of 166404456 is about 550.0324564869.

It can be divided in two parts, 1664044 and 56, that added together give a square (1664100 = 1290²).

The spelling of 166404456 in words is "one hundred sixty-six million, four hundred four thousand, four hundred fifty-six".