4872508416 has 264 divisors, whose sum is σ = 14878316544. Its totient is φ = 1532805120.

The previous prime is 4872508387. The next prime is 4872508453. The reversal of 4872508416 is 6148052784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26919846 + ... + 26920026.

Almost surely, 2^4872508416 is an apocalyptic number.

4872508416 is a gapful number since it is divisible by the number (46) 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 4872508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439158272).

4872508416 is an abundant number, since it is smaller than the sum of its proper divisors (10005808128).

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

4872508416 is a wasteful number, since it uses less digits than its factorization.

4872508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4872508416 is about 69803.3553348261. The cubic root of 4872508416 is about 1695.3168008891.

The spelling of 4872508416 in words is "four billion, eight hundred seventy-two million, five hundred eight thousand, four hundred sixteen".