4860564408 has 240 divisors, whose sum is σ = 16178706720. Its totient is φ = 1358767872.

The previous prime is 4860564403. The next prime is 4860564427. The reversal of 4860564408 is 8044650684.

4860564408 is a `hidden beast` number, since 4 + 86 + 0 + 564 + 4 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4860564403) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490716 + ... + 1493972.

It is an arithmetic number, because the mean of its divisors is an integer number (67411278).

Almost surely, 2^4860564408 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 4860564408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089353360).

4860564408 is an abundant number, since it is smaller than the sum of its proper divisors (11318142312).

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

4860564408 is a wasteful number, since it uses less digits than its factorization.

4860564408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4860564408 is about 69717.7481564056. The cubic root of 4860564408 is about 1693.9304208382.

The spelling of 4860564408 in words is "four billion, eight hundred sixty million, five hundred sixty-four thousand, four hundred eight".