4813793280 has 384 divisors, whose sum is σ = 17879097600. Its totient is φ = 1226244096.

The previous prime is 4813793273. The next prime is 4813793293. The reversal of 4813793280 is 823973184.

4813793280 is a `hidden beast` number, since 481 + 3 + 7 + 93 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358662 + ... + 6359418.

It is an arithmetic number, because the mean of its divisors is an integer number (46560150).

Almost surely, 2^4813793280 is an apocalyptic number.

4813793280 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 4813793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939548800).

4813793280 is an abundant number, since it is smaller than the sum of its proper divisors (13065304320).

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

4813793280 is a wasteful number, since it uses less digits than its factorization.

4813793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4813793280 is about 69381.5053166188. The cubic root of 4813793280 is about 1688.4795774276.

The spelling of 4813793280 in words is "four billion, eight hundred thirteen million, seven hundred ninety-three thousand, two hundred eighty".