4920709248 has 384 divisors, whose sum is σ = 17693719680. Its totient is φ = 1278001152.

The previous prime is 4920709231. The next prime is 4920709289. The reversal of 4920709248 is 8429070294.

4920709248 is a `hidden beast` number, since 492 + 0 + 70 + 92 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7652415 + ... + 7653057.

It is an arithmetic number, because the mean of its divisors is an integer number (46077395).

Almost surely, 2^4920709248 is an apocalyptic number.

4920709248 is a gapful number since it is divisible by the number (48) 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 4920709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846859840).

4920709248 is an abundant number, since it is smaller than the sum of its proper divisors (12773010432).

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

4920709248 is a wasteful number, since it uses less digits than its factorization.

4920709248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

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

The square root of 4920709248 is about 70147.7672346027. The cubic root of 4920709248 is about 1700.8887219356. Note that the first 3 decimals are identical.

The spelling of 4920709248 in words is "four billion, nine hundred twenty million, seven hundred nine thousand, two hundred forty-eight".