4430960820 has 480 divisors, whose sum is σ = 16884274176. Its totient is φ = 958003200.

The previous prime is 4430960791. The next prime is 4430960827. The reversal of 4430960820 is 280690344.

It is a happy number.

4430960820 is a `hidden beast` number, since 4 + 43 + 0 + 9 + 608 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430960827) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7181152 + ... + 7181768.

Almost surely, 2^4430960820 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 4430960820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8442137088).

4430960820 is an abundant number, since it is smaller than the sum of its proper divisors (12453313356).

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

4430960820 is a wasteful number, since it uses less digits than its factorization.

4430960820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4430960820 is about 66565.4626664609. The cubic root of 4430960820 is about 1642.4770247615.

The spelling of 4430960820 in words is "four billion, four hundred thirty million, nine hundred sixty thousand, eight hundred twenty".