441484992 has 140 divisors (see below), whose sum is σ = 1409584176. Its totient is φ = 135820800.

The previous prime is 441484987. The next prime is 441484993. The reversal of 441484992 is 299484144.

It is a super-2 number, since 2×441484992² = 389817996322480128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (441484993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64117 + ... + 70667.

Almost surely, 2^441484992 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 441484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704792088).

441484992 is an abundant number, since it is smaller than the sum of its proper divisors (968099184).

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

441484992 is a wasteful number, since it uses less digits than its factorization.

441484992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6569 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 441484992 is about 21011.5442554801. The cubic root of 441484992 is about 761.4451910352.

The spelling of 441484992 in words is "four hundred forty-one million, four hundred eighty-four thousand, nine hundred ninety-two".