4456746 has 72 divisors (see below), whose sum is σ = 11666304. Its totient is φ = 1224720.

The previous prime is 4456709. The next prime is 4456769. The reversal of 4456746 is 6476544.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4³ + 4⁹ + 5 + 6 + 7 + 4¹¹ + 6³ .

It is a self number, because there is not a number n which added to its sum of digits gives 4456746.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27261 + ... + 27423.

It is an arithmetic number, because the mean of its divisors is an integer number (162032).

Almost surely, 2^4456746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4456746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833152).

4456746 is an abundant number, since it is smaller than the sum of its proper divisors (7209558).

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

4456746 is a wasteful number, since it uses less digits than its factorization.

4456746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4456746 is about 2111.1006607928. The cubic root of 4456746 is about 164.5656897749.

The spelling of 4456746 in words is "four million, four hundred fifty-six thousand, seven hundred forty-six".