441153984 has 112 divisors (see below), whose sum is σ = 1225734912. Its totient is φ = 139763712.

The previous prime is 441153953. The next prime is 441154009. The reversal of 441153984 is 489351144.

It is a super-4 number, since 4×441153984⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249552 + ... + 1249904.

Almost surely, 2^441153984 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 441153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612867456).

441153984 is an abundant number, since it is smaller than the sum of its proper divisors (784580928).

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

441153984 is a wasteful number, since it uses less digits than its factorization.

441153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 441153984 is about 21003.6659657308. The cubic root of 441153984 is about 761.2548429512.

The spelling of 441153984 in words is "four hundred forty-one million, one hundred fifty-three thousand, nine hundred eighty-four".