4805216460 has 240 divisors, whose sum is σ = 16829632512. Its totient is φ = 1137628800.

The previous prime is 4805216399. The next prime is 4805216467. The reversal of 4805216460 is 646125084.

4805216460 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 2 + 1 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4805216467) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 763125 + ... + 769395.

Almost surely, 2^4805216460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4805216460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414816256).

4805216460 is an abundant number, since it is smaller than the sum of its proper divisors (12024416052).

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

4805216460 is a wasteful number, since it uses less digits than its factorization.

4805216460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4805216460 is about 69319.6686374077. The cubic root of 4805216460 is about 1687.4761833676.

The spelling of 4805216460 in words is "four billion, eight hundred five million, two hundred sixteen thousand, four hundred sixty".