4800471000 has 256 divisors, whose sum is σ = 16334922240. Its totient is φ = 1166630400.

The previous prime is 4800470971. The next prime is 4800471073. The reversal of 4800471000 is 1740084.

It is a super-3 number, since 3×4800471000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3236259 + ... + 3237741.

It is an arithmetic number, because the mean of its divisors is an integer number (63808290).

Almost surely, 2^4800471000 is an apocalyptic number.

4800471000 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 4800471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167461120).

4800471000 is an abundant number, since it is smaller than the sum of its proper divisors (11534451240).

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

4800471000 is a wasteful number, since it uses less digits than its factorization.

4800471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4800471000 is about 69285.4313690836. The cubic root of 4800471000 is about 1686.9205033525.

It can be divided in two parts, 4800 and 471000, that added together give a triangular number (475800 = T₉₇₅).

The spelling of 4800471000 in words is "four billion, eight hundred million, four hundred seventy-one thousand".