444685824 has 240 divisors, whose sum is σ = 1450335744. Its totient is φ = 129945600.

The previous prime is 444685819. The next prime is 444685831. The reversal of 444685824 is 428586444.

444685824 is a `hidden beast` number, since 4 + 4 + 4 + 68 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 444685824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571187 + ... + 1571469.

Almost surely, 2^444685824 is an apocalyptic number.

444685824 is a gapful number since it is divisible by the number (44) 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 444685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725167872).

444685824 is an abundant number, since it is smaller than the sum of its proper divisors (1005649920).

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

444685824 is a wasteful number, since it uses less digits than its factorization.

444685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 444685824 is about 21087.5751095284. The cubic root of 444685824 is about 763.2809586731.

The spelling of 444685824 in words is "four hundred forty-four million, six hundred eighty-five thousand, eight hundred twenty-four".