444048 has 60 divisors (see below), whose sum is σ = 1296048. Its totient is φ = 129920.

The previous prime is 444047. The next prime is 444079. The reversal of 444048 is 840444.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444048.

It is not an unprimeable number, because it can be changed into a prime (444043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15298 + ... + 15326.

2⁴⁴⁴⁰⁴⁸ is an apocalyptic number.

444048 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 444048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648024).

444048 is an abundant number, since it is smaller than the sum of its proper divisors (852000).

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

444048 is a wasteful number, since it uses less digits than its factorization.

444048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

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

The square root of 444048 is about 666.3692669984. The cubic root of 444048 is about 76.2915853067.

The spelling of 444048 in words is "four hundred forty-four thousand, forty-eight".