4461883920 has 480 divisors, whose sum is σ = 17645299200. Its totient is φ = 1032265728.

The previous prime is 4461883841. The next prime is 4461883963. The reversal of 4461883920 is 293881644.

It is a happy number.

4461883920 is a `hidden beast` number, since 4 + 4 + 618 + 8 + 3 + 9 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6205321 + ... + 6206039.

It is an arithmetic number, because the mean of its divisors is an integer number (36761040).

Almost surely, 2^4461883920 is an apocalyptic number.

4461883920 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 4461883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8822649600).

4461883920 is an abundant number, since it is smaller than the sum of its proper divisors (13183415280).

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

4461883920 is a wasteful number, since it uses less digits than its factorization.

4461883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 759 counting only the distinct ones).

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

The square root of 4461883920 is about 66797.3346773657. The cubic root of 4461883920 is about 1646.2890485287.

The spelling of 4461883920 in words is "four billion, four hundred sixty-one million, eight hundred eighty-three thousand, nine hundred twenty".