444963456 has 160 divisors (see below), whose sum is σ = 1513622880. Its totient is φ = 127111680.

The previous prime is 444963433. The next prime is 444963473. The reversal of 444963456 is 654369444.

444963456 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 634 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69511 + ... + 75641.

It is an arithmetic number, because the mean of its divisors is an integer number (9460143).

Almost surely, 2^444963456 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 444963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756811440).

444963456 is an abundant number, since it is smaller than the sum of its proper divisors (1068659424).

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

444963456 is an equidigital number, since it uses as much as digits as its factorization.

444963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6143 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 444963456 is about 21094.1569160751. The cubic root of 444963456 is about 763.4397727705.

The spelling of 444963456 in words is "four hundred forty-four million, nine hundred sixty-three thousand, four hundred fifty-six".