4398752160 has 288 divisors, whose sum is σ = 16503020352. Its totient is φ = 1058058240.

The previous prime is 4398752143. The next prime is 4398752177. The reversal of 4398752160 is 612578934.

4398752160 is a `hidden beast` number, since 43 + 9 + 87 + 521 + 6 + 0 = 666.

4398752160 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4398752143) and next prime (4398752177).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

4398752160 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2169067 + ... + 2171093.

It is an arithmetic number, because the mean of its divisors is an integer number (57302154).

It is a 1-persistent number, because it is pandigital, but 2⋅4398752160 = 8797504320 is not.

Almost surely, 2^4398752160 is an apocalyptic number.

4398752160 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 4398752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251510176).

4398752160 is an abundant number, since it is smaller than the sum of its proper divisors (12104268192).

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

4398752160 is a wasteful number, since it uses less digits than its factorization.

4398752160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4398752160 is about 66323.0891922263. The cubic root of 4398752160 is about 1638.4876202136.

The spelling of 4398752160 in words is "four billion, three hundred ninety-eight million, seven hundred fifty-two thousand, one hundred sixty".