4461444 has 36 divisors (see below), whose sum is σ = 12146316. Its totient is φ = 1372608.

The previous prime is 4461439. The next prime is 4461449. The reversal of 4461444 is 4441644.

4461444 is a `hidden beast` number, since 4 + 4 + 614 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (4461439) and next prime (4461449).

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 3755844 = 840^2 + 1938^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4461449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4299 + ... + 5234.

Almost surely, 2^4461444 is an apocalyptic number.

It is an amenable number.

4461444 is an abundant number, since it is smaller than the sum of its proper divisors (7684872).

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

4461444 is a wasteful number, since it uses less digits than its factorization.

4461444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9551 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4461444 is about 2112.2130574353. The cubic root of 4461444 is about 164.6234941393.

The spelling of 4461444 in words is "four million, four hundred sixty-one thousand, four hundred forty-four".