441704736 has 144 divisors (see below), whose sum is σ = 1391408928. Its totient is φ = 131788800.

The previous prime is 441704707. The next prime is 441704737. The reversal of 441704736 is 637407144.

It is a happy number.

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 a self number, because there is not a number n which added to its sum of digits gives 441704736.

It is not an unprimeable number, because it can be changed into a prime (441704737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211216 + ... + 213296.

It is an arithmetic number, because the mean of its divisors is an integer number (9662562).

Almost surely, 2^441704736 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 441704736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695704464).

441704736 is an abundant number, since it is smaller than the sum of its proper divisors (949704192).

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

441704736 is a wasteful number, since it uses less digits than its factorization.

441704736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 441704736 is about 21016.7727303694. The cubic root of 441704736 is about 761.5715035650.

The spelling of 441704736 in words is "four hundred forty-one million, seven hundred four thousand, seven hundred thirty-six".