441748944 has 320 divisors, whose sum is σ = 1654894080. Its totient is φ = 109486080.

The previous prime is 441748939. The next prime is 441748969. The reversal of 441748944 is 449847144.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 441748944.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 667974 + ... + 668634.

It is an arithmetic number, because the mean of its divisors is an integer number (5171544).

Almost surely, 2^441748944 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 441748944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827447040).

441748944 is an abundant number, since it is smaller than the sum of its proper divisors (1213145136).

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

441748944 is a wasteful number, since it uses less digits than its factorization.

441748944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 441748944 is about 21017.8244354643. The cubic root of 441748944 is about 761.5969100015.

It can be divided in two parts, 4417 and 48944, that added together give a square (53361 = 231²).

The spelling of 441748944 in words is "four hundred forty-one million, seven hundred forty-eight thousand, nine hundred forty-four".