4456116 has 36 divisors (see below), whose sum is σ = 12873952. Its totient is φ = 1273104.

The previous prime is 4456079. The next prime is 4456121. The reversal of 4456116 is 6116544.

4456116 is a `hidden beast` number, since 4 + 45 + 611 + 6 = 666.

4456116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4456116.

It is a congruent number.

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, 8590 + ... + 9093.

Almost surely, 2^4456116 is an apocalyptic number.

It is an amenable number.

4456116 is an abundant number, since it is smaller than the sum of its proper divisors (8417836).

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

4456116 is a wasteful number, since it uses less digits than its factorization.

4456116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17700 (or 17695 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4456116 is about 2110.9514442545. The cubic root of 4456116 is about 164.5579351433.

It can be divided in two parts, 445 and 6116, that added together give a 8-th power (6561 = 3⁸).

The spelling of 4456116 in words is "four million, four hundred fifty-six thousand, one hundred sixteen".