4800464760 has 512 divisors, whose sum is σ = 19769702400. Its totient is φ = 902430720.

The previous prime is 4800464717. The next prime is 4800464761. The reversal of 4800464760 is 674640084.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800464761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3526480 + ... + 3527840.

It is an arithmetic number, because the mean of its divisors is an integer number (38612700).

Almost surely, 2^4800464760 is an apocalyptic number.

4800464760 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 4800464760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884851200).

4800464760 is an abundant number, since it is smaller than the sum of its proper divisors (14969237640).

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

4800464760 is a wasteful number, since it uses less digits than its factorization.

4800464760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4800464760 is about 69285.3863379573. The cubic root of 4800464760 is about 1686.9197724250.

The spelling of 4800464760 in words is "four billion, eight hundred million, four hundred sixty-four thousand, seven hundred sixty".