441816408 has 96 divisors (see below), whose sum is σ = 1340735760. Its totient is φ = 130256640.

The previous prime is 441816373. The next prime is 441816413. The reversal of 441816408 is 804618144.

441816408 is a `hidden beast` number, since 4 + 4 + 1 + 8 + 1 + 640 + 8 = 666.

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 23 ways as a sum of consecutive naturals, for example, 21766 + ... + 36842.

Almost surely, 2^441816408 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 441816408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670367880).

441816408 is an abundant number, since it is smaller than the sum of its proper divisors (898919352).

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

441816408 is a wasteful number, since it uses less digits than its factorization.

441816408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15137 (or 15130 counting only the distinct ones).

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

The square root of 441816408 is about 21019.4292976760. The cubic root of 441816408 is about 761.6356784462.

The spelling of 441816408 in words is "four hundred forty-one million, eight hundred sixteen thousand, four hundred eight".