444216456 has 48 divisors (see below), whose sum is σ = 1204173360. Its totient is φ = 147938400.

The previous prime is 444216439. The next prime is 444216463. The reversal of 444216456 is 654612444.

444216456 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 1 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444216456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107631 + ... + 111681.

It is an arithmetic number, because the mean of its divisors is an integer number (25086945).

Almost surely, 2^444216456 is an apocalyptic number.

It is an amenable number.

444216456 is an abundant number, since it is smaller than the sum of its proper divisors (759956904).

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

444216456 is a wasteful number, since it uses less digits than its factorization.

444216456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5579 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 444216456 is about 21076.4431534355. The cubic root of 444216456 is about 763.0123152400.

The spelling of 444216456 in words is "four hundred forty-four million, two hundred sixteen thousand, four hundred fifty-six".