4205952960 has 224 divisors, whose sum is σ = 15202156032. Its totient is φ = 975237120.

The previous prime is 4205952953. The next prime is 4205952973. The reversal of 4205952960 is 692595024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234222 + ... + 251538.

It is an arithmetic number, because the mean of its divisors is an integer number (67866768).

Almost surely, 2^4205952960 is an apocalyptic number.

4205952960 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 4205952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601078016).

4205952960 is an abundant number, since it is smaller than the sum of its proper divisors (10996203072).

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

4205952960 is a wasteful number, since it uses less digits than its factorization.

4205952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 4205952960 is about 64853.3188048229. The cubic root of 4205952960 is about 1614.1905620535.

The spelling of 4205952960 in words is "four billion, two hundred five million, nine hundred fifty-two thousand, nine hundred sixty".