441411984 has 160 divisors (see below), whose sum is σ = 1391160960. Its totient is φ = 133166592.

The previous prime is 441411979. The next prime is 441411991. The reversal of 441411984 is 489114144.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296907 + ... + 298389.

It is an arithmetic number, because the mean of its divisors is an integer number (8694756).

Almost surely, 2^441411984 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 441411984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695580480).

441411984 is an abundant number, since it is smaller than the sum of its proper divisors (949748976).

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

441411984 is a wasteful number, since it uses less digits than its factorization.

441411984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1554 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 441411984 is about 21009.8068529913. The cubic root of 441411984 is about 761.4032155387.

The spelling of 441411984 in words is "four hundred forty-one million, four hundred eleven thousand, nine hundred eighty-four".