4456576 has 32 divisors (see below), whose sum is σ = 9127980. Its totient is φ = 2165760.

The previous prime is 4456561. The next prime is 4456579. The reversal of 4456576 is 6756544.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 360000 = 2024^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4456576² = 39722139287552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (4456579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4266 + ... + 5206.

Almost surely, 2^4456576 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 4456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563990).

4456576 is an abundant number, since it is smaller than the sum of its proper divisors (4671404).

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

4456576 is an equidigital number, since it uses as much as digits as its factorization.

4456576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The square root of 4456576 is about 2111.0603970517. The cubic root of 4456576 is about 164.5635973272.

Subtracting 4456576 from its reverse (6756544), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 445 and 6576, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 4456576 in words is "four million, four hundred fifty-six thousand, five hundred seventy-six".