4248840960 has 864 divisors, whose sum is σ = 18986143680. Its totient is φ = 891813888.

The previous prime is 4248840929. The next prime is 4248840961. The reversal of 4248840960 is 690488424.

4248840960 is a `hidden beast` number, since 42 + 488 + 40 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (4248840961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014624 + ... + 22014816.

Almost surely, 2^4248840960 is an apocalyptic number.

4248840960 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 4248840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493071840).

4248840960 is an abundant number, since it is smaller than the sum of its proper divisors (14737302720).

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

4248840960 is a wasteful number, since it uses less digits than its factorization.

4248840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4248840960 is about 65183.1340148661. The cubic root of 4248840960 is about 1619.6586386369.

The spelling of 4248840960 in words is "four billion, two hundred forty-eight million, eight hundred forty thousand, nine hundred sixty".