4809535920 has 480 divisors, whose sum is σ = 19622315520. Its totient is φ = 1060646400.

The previous prime is 4809535883. The next prime is 4809535931. The reversal of 4809535920 is 295359084.

4809535920 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 53 + 592 + 0 = 666.

It is a super-3 number, since 3×4809535920³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14530155 + ... + 14530485.

It is an arithmetic number, because the mean of its divisors is an integer number (40879824).

Almost surely, 2^4809535920 is an apocalyptic number.

4809535920 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 4809535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811157760).

4809535920 is an abundant number, since it is smaller than the sum of its proper divisors (14812779600).

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

4809535920 is a wasteful number, since it uses less digits than its factorization.

4809535920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4809535920 is about 69350.8177313000. The cubic root of 4809535920 is about 1687.9816620126.

The spelling of 4809535920 in words is "four billion, eight hundred nine million, five hundred thirty-five thousand, nine hundred twenty".