441088416 has 120 divisors (see below), whose sum is σ = 1306277280. Its totient is φ = 146005632.

The previous prime is 441088393. The next prime is 441088421. The reversal of 441088416 is 614880144.

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

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 19 ways as a sum of consecutive naturals, for example, 432355 + ... + 433373.

It is an arithmetic number, because the mean of its divisors is an integer number (10885644).

Almost surely, 2^441088416 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 441088416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653138640).

441088416 is an abundant number, since it is smaller than the sum of its proper divisors (865188864).

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

441088416 is a wasteful number, since it uses less digits than its factorization.

441088416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 441088416 is about 21002.1050373528. The cubic root of 441088416 is about 761.2171263923.

The spelling of 441088416 in words is "four hundred forty-one million, eighty-eight thousand, four hundred sixteen".