441855216 has 240 divisors, whose sum is σ = 1424908800. Its totient is φ = 130965120.

The previous prime is 441855173. The next prime is 441855233. The reversal of 441855216 is 612558144.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 4129435 + ... + 4129541.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2^441855216 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 441855216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

441855216 is an abundant number, since it is smaller than the sum of its proper divisors (983053584).

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

441855216 is a wasteful number, since it uses less digits than its factorization.

441855216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 441855216 is about 21020.3524233063. The cubic root of 441855216 is about 761.6579778233.

The spelling of 441855216 in words is "four hundred forty-one million, eight hundred fifty-five thousand, two hundred sixteen".