441228960 has 144 divisors (see below), whose sum is σ = 1517836320. Its totient is φ = 116712960.

The previous prime is 441228917. The next prime is 441228961. The reversal of 441228960 is 69822144.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (441228961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 187471 + ... + 189809.

It is an arithmetic number, because the mean of its divisors is an integer number (10540530).

Almost surely, 2^441228960 is an apocalyptic number.

441228960 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 441228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758918160).

441228960 is an abundant number, since it is smaller than the sum of its proper divisors (1076607360).

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

441228960 is a wasteful number, since it uses less digits than its factorization.

441228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 441228960 is about 21005.4507211819. The cubic root of 441228960 is about 761.2979666767.

The spelling of 441228960 in words is "four hundred forty-one million, two hundred twenty-eight thousand, nine hundred sixty".