440448 has 64 divisors (see below), whose sum is σ = 1240320. Its totient is φ = 138240.

The previous prime is 440443. The next prime is 440471. The reversal of 440448 is 844044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×440448³ = 256333390257586176, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440441) 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 7 ways as a sum of consecutive naturals, for example, 11886 + ... + 11922.

It is an arithmetic number, because the mean of its divisors is an integer number (19380).

2⁴⁴⁰⁴⁴⁸ is an apocalyptic number.

440448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620160).

440448 is an abundant number, since it is smaller than the sum of its proper divisors (799872).

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

440448 is a wasteful number, since it uses less digits than its factorization.

440448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 440448 is about 663.6625648626. The cubic root of 440448 is about 76.0848544394.

It can be divided in two parts, 440 and 448, that added together give a palindrome (888).

The spelling of 440448 in words is "four hundred forty thousand, four hundred forty-eight".