4800456000 has 336 divisors, whose sum is σ = 17469508368. Its totient is φ = 1257984000.

The previous prime is 4800455993. The next prime is 4800456049. The reversal of 4800456000 is 6540084.

It can be written as a sum of positive squares in 8 ways, for example, as 1421591616 + 3378864384 = 37704^2 + 58128^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4391454 + ... + 4392546.

Almost surely, 2^4800456000 is an apocalyptic number.

4800456000 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 4800456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734754184).

4800456000 is an abundant number, since it is smaller than the sum of its proper divisors (12669052368).

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

4800456000 is a wasteful number, since it uses less digits than its factorization.

4800456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4800456000 is about 69285.3231211344. The cubic root of 4800456000 is about 1686.9187463142.

Adding to 4800456000 its reverse (6540084), we get a palindrome (4806996084).

The spelling of 4800456000 in words is "four billion, eight hundred million, four hundred fifty-six thousand".