444516 has 24 divisors (see below), whose sum is σ = 1098720. Its totient is φ = 139392.

The previous prime is 444487. The next prime is 444517. The reversal of 444516 is 615444.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444516.

It is not an unprimeable number, because it can be changed into a prime (444517) by changing a digit.

444516 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 7 ways as a sum of consecutive naturals, for example, 886 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (45780).

2⁴⁴⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

444516 is an abundant number, since it is smaller than the sum of its proper divisors (654204).

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

444516 is a wasteful number, since it uses less digits than its factorization.

444516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2201 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 444516 is about 666.7203311734. The cubic root of 444516 is about 76.3183781503.

It can be divided in two parts, 44 and 4516, that added together give a triangular number (4560 = T₉₅).

The spelling of 444516 in words is "four hundred forty-four thousand, five hundred sixteen".