444442416 has 80 divisors (see below), whose sum is σ = 1255419648. Its totient is φ = 134368000.

The previous prime is 444442391. The next prime is 444442417. The reversal of 444442416 is 614244444.

It is a super-2 number, since 2×444442416² = 395058122279834112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is not an unprimeable number, because it can be changed into a prime (444442417) 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, 340966 + ... + 342266.

Almost surely, 2^444442416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627709824).

444442416 is an abundant number, since it is smaller than the sum of its proper divisors (810977232).

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

444442416 is a wasteful number, since it uses less digits than its factorization.

444442416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1964 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 444442416 is about 21081.8029589502. The cubic root of 444442416 is about 763.1416673725.

The spelling of 444442416 in words is "four hundred forty-four million, four hundred forty-two thousand, four hundred sixteen".