441686016 has 144 divisors (see below), whose sum is σ = 1318524480. Its totient is φ = 142295040.

The previous prime is 441685987. The next prime is 441686081. The reversal of 441686016 is 610686144.

441686016 is a `hidden beast` number, since 4 + 41 + 6 + 8 + 601 + 6 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571006 + ... + 571778.

It is an arithmetic number, because the mean of its divisors is an integer number (9156420).

Almost surely, 2^441686016 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 441686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659262240).

441686016 is an abundant number, since it is smaller than the sum of its proper divisors (876838464).

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

441686016 is a wasteful number, since it uses less digits than its factorization.

441686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 809 counting only the distinct ones).

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

The square root of 441686016 is about 21016.3273670734. The cubic root of 441686016 is about 761.5607446283.

The spelling of 441686016 in words is "four hundred forty-one million, six hundred eighty-six thousand, sixteen".