4800466944 has 624 divisors, whose sum is σ = 18032257152. Its totient is φ = 1242169344.

The previous prime is 4800466897. The next prime is 4800466949. The reversal of 4800466944 is 4496640084.

It is a tau number, because it is divible by the number of its divisors (624).

It is a self number, because there is not a number n which added to its sum of digits gives 4800466944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800466949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90574822 + ... + 90574874.

It is an arithmetic number, because the mean of its divisors is an integer number (28897848).

Almost surely, 2^4800466944 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 4800466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016128576).

4800466944 is an abundant number, since it is smaller than the sum of its proper divisors (13231790208).

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

4800466944 is an equidigital number, since it uses as much as digits as its factorization.

4800466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4800466944 is about 69285.4020988548. The cubic root of 4800466944 is about 1686.9200282497.

The spelling of 4800466944 in words is "four billion, eight hundred million, four hundred sixty-six thousand, nine hundred forty-four".