444147840 has 128 divisors (see below), whose sum is σ = 1573084800. Its totient is φ = 118434816.

The previous prime is 444147839. The next prime is 444147853. The reversal of 444147840 is 48741444.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 444147795 and 444147804.

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 15 ways as a sum of consecutive naturals, for example, 4429 + ... + 30131.

It is an arithmetic number, because the mean of its divisors is an integer number (12289725).

Almost surely, 2^444147840 is an apocalyptic number.

444147840 is a gapful number since it is divisible by the number (40) 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 444147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786542400).

444147840 is an abundant number, since it is smaller than the sum of its proper divisors (1128936960).

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

444147840 is a wasteful number, since it uses less digits than its factorization.

444147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25731 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 444147840 is about 21074.8153016818. The cubic root of 444147840 is about 762.9730269244.

The spelling of 444147840 in words is "four hundred forty-four million, one hundred forty-seven thousand, eight hundred forty".