4829540760 has 480 divisors, whose sum is σ = 18168353280. Its totient is φ = 1149603840.

The previous prime is 4829540753. The next prime is 4829540791. The reversal of 4829540760 is 670459284.

It is a happy number.

4829540760 is a `hidden beast` number, since 48 + 2 + 9 + 540 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38027817 + ... + 38027943.

It is an arithmetic number, because the mean of its divisors is an integer number (37850736).

Almost surely, 2^4829540760 is an apocalyptic number.

4829540760 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 4829540760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9084176640).

4829540760 is an abundant number, since it is smaller than the sum of its proper divisors (13338812520).

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

4829540760 is a wasteful number, since it uses less digits than its factorization.

4829540760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4829540760 is about 69494.8973666412. The cubic root of 4829540760 is about 1690.3187615758.

The spelling of 4829540760 in words is "four billion, eight hundred twenty-nine million, five hundred forty thousand, seven hundred sixty".