456166656 has 216 divisors, whose sum is σ = 1473151680. Its totient is φ = 134553600.

The previous prime is 456166651. The next prime is 456166663. The reversal of 456166656 is 656661654.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456166651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038885 + ... + 1039323.

Almost surely, 2^456166656 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 456166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

456166656 is an abundant number, since it is smaller than the sum of its proper divisors (1016985024).

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

456166656 is a wasteful number, since it uses less digits than its factorization.

456166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 456166656 is about 21358.0583387161. The cubic root of 456166656 is about 769.7939832269.

It can be divided in two parts, 4561 and 66656, that added together give a palindrome (71217).

The spelling of 456166656 in words is "four hundred fifty-six million, one hundred sixty-six thousand, six hundred fifty-six".