444840 has 64 divisors (see below), whose sum is σ = 1460160. Its totient is φ = 107520.

The previous prime is 444833. The next prime is 444841. The reversal of 444840 is 48444.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444840.

It is not an unprimeable number, because it can be changed into a prime (444841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2⁴⁴⁴⁸⁴⁰ is an apocalyptic number.

444840 is a gapful number since it is divisible by the number (40) 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 444840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730080).

444840 is an abundant number, since it is smaller than the sum of its proper divisors (1015320).

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

444840 is a wasteful number, since it uses less digits than its factorization.

444840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

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

The square root of 444840 is about 666.9632673544. The cubic root of 444840 is about 76.3369160276.

It can be divided in two parts, 44 and 4840, that added together give a palindrome (4884).

The spelling of 444840 in words is "four hundred forty-four thousand, eight hundred forty".