444456 has 24 divisors (see below), whose sum is σ = 1203930. Its totient is φ = 148128.

The previous prime is 444449. The next prime is 444461. The reversal of 444456 is 654444.

It can be written as a sum of positive squares in only one way, i.e., 443556 + 900 = 666^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×444456² = 395082271872, which contains 22 as substring.

It is a plaindrome in base 10.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3015 + ... + 3158.

2⁴⁴⁴⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

444456 is an abundant number, since it is smaller than the sum of its proper divisors (759474).

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

444456 is a wasteful number, since it uses less digits than its factorization.

444456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6178 counting only the distinct ones).

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

The square root of 444456 is about 666.6753332770. The cubic root of 444456 is about 76.3149442216.

It can be divided in two parts, 444 and 456, that added together give a square (900 = 30²).

The spelling of 444456 in words is "four hundred forty-four thousand, four hundred fifty-six".