4816460880 has 800 divisors, whose sum is σ = 21389702400. Its totient is φ = 995742720.

The previous prime is 4816460863. The next prime is 4816460881. The reversal of 4816460880 is 880646184.

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

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4816460881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24448942 + ... + 24449138.

It is an arithmetic number, because the mean of its divisors is an integer number (26737128).

Almost surely, 2^4816460880 is an apocalyptic number.

4816460880 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 4816460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694851200).

4816460880 is an abundant number, since it is smaller than the sum of its proper divisors (16573241520).

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

4816460880 is a wasteful number, since it uses less digits than its factorization.

4816460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4816460880 is about 69400.7267973470. The cubic root of 4816460880 is about 1688.7914144139.

The spelling of 4816460880 in words is "four billion, eight hundred sixteen million, four hundred sixty thousand, eight hundred eighty".