4208268960 has 864 divisors, whose sum is σ = 18239981760. Its totient is φ = 877879296.

The previous prime is 4208268947. The next prime is 4208268983. The reversal of 4208268960 is 698628024.

4208268960 is a `hidden beast` number, since 420 + 82 + 68 + 96 + 0 = 666.

4208268960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57647484 + ... + 57647556.

It is an arithmetic number, because the mean of its divisors is an integer number (21111090).

Almost surely, 2^4208268960 is an apocalyptic number.

4208268960 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 4208268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119990880).

4208268960 is an abundant number, since it is smaller than the sum of its proper divisors (14031712800).

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

4208268960 is a wasteful number, since it uses less digits than its factorization.

4208268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4208268960 is about 64871.1720257928. The cubic root of 4208268960 is about 1614.4867913420.

The spelling of 4208268960 in words is "four billion, two hundred eight million, two hundred sixty-eight thousand, nine hundred sixty".