4877869248 has 504 divisors, whose sum is σ = 17422593552. Its totient is φ = 1348171776.

The previous prime is 4877869229. The next prime is 4877869253. The reversal of 4877869248 is 8429687784.

4877869248 is a `hidden beast` number, since 487 + 78 + 69 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 71 ways as a sum of consecutive naturals, for example, 28195690 + ... + 28195862.

It is an arithmetic number, because the mean of its divisors is an integer number (34568638).

Almost surely, 2^4877869248 is an apocalyptic number.

4877869248 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 4877869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711296776).

4877869248 is an abundant number, since it is smaller than the sum of its proper divisors (12544724304).

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

4877869248 is a wasteful number, since it uses less digits than its factorization.

4877869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 4877869248 is about 69841.7443081142. The cubic root of 4877869248 is about 1695.9383135865.

The spelling of 4877869248 in words is "four billion, eight hundred seventy-seven million, eight hundred sixty-nine thousand, two hundred forty-eight".