4491384480 has 432 divisors, whose sum is σ = 17057968200. Its totient is φ = 1075261440.

The previous prime is 4491384449. The next prime is 4491384493. The reversal of 4491384480 is 844831944.

4491384480 is a `hidden beast` number, since 4 + 4 + 91 + 3 + 84 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3670905744 + 820478736 = 60588^2 + 28644^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25961674 + ... + 25961846.

Almost surely, 2^4491384480 is an apocalyptic number.

4491384480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4491384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528984100).

4491384480 is an abundant number, since it is smaller than the sum of its proper divisors (12566583720).

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

4491384480 is a wasteful number, since it uses less digits than its factorization.

4491384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4491384480 is about 67017.7922644427. The cubic root of 4491384480 is about 1649.9093283508.

The spelling of 4491384480 in words is "four billion, four hundred ninety-one million, three hundred eighty-four thousand, four hundred eighty".