4860107460 has 384 divisors, whose sum is σ = 17557585920. Its totient is φ = 1106265600.

The previous prime is 4860107459. The next prime is 4860107471. The reversal of 4860107460 is 647010684.

4860107460 is a `hidden beast` number, since 4 + 8 + 601 + 0 + 7 + 46 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5004775 + ... + 5005745.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^4860107460 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 4860107460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778792960).

4860107460 is an abundant number, since it is smaller than the sum of its proper divisors (12697478460).

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

4860107460 is a wasteful number, since it uses less digits than its factorization.

4860107460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4860107460 is about 69714.4709511591. The cubic root of 4860107460 is about 1693.8773363052.

The spelling of 4860107460 in words is "four billion, eight hundred sixty million, one hundred seven thousand, four hundred sixty".