4481593920 has 280 divisors, whose sum is σ = 16376181624. Its totient is φ = 1162543104.

The previous prime is 4481593913. The next prime is 4481593939. The reversal of 4481593920 is 293951844.

4481593920 is a `hidden beast` number, since 448 + 159 + 39 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2482430976 + 1999162944 = 49824^2 + 44712^2 .

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 39 ways as a sum of consecutive naturals, for example, 956704 + ... + 961376.

Almost surely, 2^4481593920 is an apocalyptic number.

4481593920 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 4481593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188090812).

4481593920 is an abundant number, since it is smaller than the sum of its proper divisors (11894587704).

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

4481593920 is a wasteful number, since it uses less digits than its factorization.

4481593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4481593920 is about 66944.7079312473. The cubic root of 4481593920 is about 1648.7096026665.

The spelling of 4481593920 in words is "four billion, four hundred eighty-one million, five hundred ninety-three thousand, nine hundred twenty".