4909395960 has 256 divisors, whose sum is σ = 18777139200. Its totient is φ = 1117670400.

The previous prime is 4909395943. The next prime is 4909395971. The reversal of 4909395960 is 695939094.

4909395960 is a `hidden beast` number, since 49 + 0 + 9 + 3 + 9 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4909395897 and 4909395906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2123205 + ... + 2125515.

It is an arithmetic number, because the mean of its divisors is an integer number (73348200).

Almost surely, 2^4909395960 is an apocalyptic number.

4909395960 is a gapful number since it is divisible by the number (40) 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 4909395960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9388569600).

4909395960 is an abundant number, since it is smaller than the sum of its proper divisors (13867743240).

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

4909395960 is a wasteful number, since it uses less digits than its factorization.

4909395960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 4909395960 is about 70067.0818573173. The cubic root of 4909395960 is about 1699.5842074240.

The spelling of 4909395960 in words is "four billion, nine hundred nine million, three hundred ninety-five thousand, nine hundred sixty".