4044456 has 96 divisors (see below), whose sum is σ = 12285000. Its totient is φ = 1193472.

The previous prime is 4044449. The next prime is 4044463. The reversal of 4044456 is 6544404.

It is an interprime number because it is at equal distance from previous prime (4044449) and next prime (4044463).

It can be written as a sum of positive squares in 4 ways, for example, as 1988100 + 2056356 = 1410^2 + 1434^2 .

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 23 ways as a sum of consecutive naturals, for example, 27070 + ... + 27218.

Almost surely, 2^4044456 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 4044456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142500).

4044456 is an abundant number, since it is smaller than the sum of its proper divisors (8240544).

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

4044456 is a wasteful number, since it uses less digits than its factorization.

4044456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4044456 is about 2011.0832901698. The cubic root of 4044456 is about 159.3260190889.

The spelling of 4044456 in words is "four million, forty-four thousand, four hundred fifty-six".