444724512 has 96 divisors (see below), whose sum is σ = 1246855680. Its totient is φ = 138485760.

The previous prime is 444724487. The next prime is 444724517. The reversal of 444724512 is 215427444.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (444724517) 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, 83728 + ... + 88880.

It is an arithmetic number, because the mean of its divisors is an integer number (12988080).

Almost surely, 2^444724512 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 444724512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623427840).

444724512 is an abundant number, since it is smaller than the sum of its proper divisors (802131168).

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

444724512 is a wasteful number, since it uses less digits than its factorization.

444724512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5218 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 444724512 is about 21088.4924069977. The cubic root of 444724512 is about 763.3030933697.

It can be divided in two parts, 44472 and 4512, that added together give a palindrome (48984).

The spelling of 444724512 in words is "four hundred forty-four million, seven hundred twenty-four thousand, five hundred twelve".