444216 has 32 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 145632.

The previous prime is 444209. The next prime is 444253. The reversal of 444216 is 612444.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444192 and 444201.

It is a congruent number.

It is an unprimeable number.

444216 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, 1881 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁴⁴⁴²¹⁶ is an apocalyptic number.

It is an amenable number.

444216 is an abundant number, since it is smaller than the sum of its proper divisors (684744).

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

444216 is a wasteful number, since it uses less digits than its factorization.

444216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 444216 is about 666.4953113113. The cubic root of 444216 is about 76.3012054156.

The spelling of 444216 in words is "four hundred forty-four thousand, two hundred sixteen".