4052658960 has 320 divisors, whose sum is σ = 16794163200. Its totient is φ = 877506048.

The previous prime is 4052658959. The next prime is 4052658983. The reversal of 4052658960 is 698562504.

4052658960 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 6 + 589 + 60 = 666.

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 63 ways as a sum of consecutive naturals, for example, 280227 + ... + 294333.

It is an arithmetic number, because the mean of its divisors is an integer number (52481760).

Almost surely, 2^4052658960 is an apocalyptic number.

4052658960 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 4052658960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8397081600).

4052658960 is an abundant number, since it is smaller than the sum of its proper divisors (12741504240).

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

4052658960 is a wasteful number, since it uses less digits than its factorization.

4052658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14155 (or 14143 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4052658960 is about 63660.4976417872. The cubic root of 4052658960 is about 1594.3366128474.

The spelling of 4052658960 in words is "four billion, fifty-two million, six hundred fifty-eight thousand, nine hundred sixty".