444720 has 80 divisors (see below), whose sum is σ = 1473120. Its totient is φ = 110592.

The previous prime is 444713. The next prime is 444739. The reversal of 444720 is 27444.

It is a tau number, because it is divible by the number of its divisors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444720.

It is an unprimeable number.

444720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026 + ... + 4134.

It is an arithmetic number, because the mean of its divisors is an integer number (18414).

2⁴⁴⁴⁷²⁰ is an apocalyptic number.

444720 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 444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560).

444720 is an abundant number, since it is smaller than the sum of its proper divisors (1028400).

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

444720 is a wasteful number, since it uses less digits than its factorization.

444720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 444720 is about 666.8733013099. The cubic root of 444720 is about 76.3300511970.

The spelling of 444720 in words is "four hundred forty-four thousand, seven hundred twenty", and thus it is an iban number.