4656600256 has 224 divisors, whose sum is σ = 12432913920. Its totient is φ = 1675468800.

The previous prime is 4656600167. The next prime is 4656600307. The reversal of 4656600256 is 6520066564.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3838306 + ... + 3839518.

It is an arithmetic number, because the mean of its divisors is an integer number (55504080).

Almost surely, 2^4656600256 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 4656600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216456960).

4656600256 is an abundant number, since it is smaller than the sum of its proper divisors (7776313664).

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

4656600256 is a wasteful number, since it uses less digits than its factorization.

4656600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 4656600256 is about 68239.2867489103. The cubic root of 4656600256 is about 1669.8968772304.

The spelling of 4656600256 in words is "four billion, six hundred fifty-six million, six hundred thousand, two hundred fifty-six".