4248871200 has 1440 divisors, whose sum is σ = 20417443200. Its totient is φ = 836075520.

The previous prime is 4248871199. The next prime is 4248871223. The reversal of 4248871200 is 21788424.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146512786 + ... + 146512814.

It is an arithmetic number, because the mean of its divisors is an integer number (14178780).

Almost surely, 2^4248871200 is an apocalyptic number.

4248871200 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 4248871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208721600).

4248871200 is an abundant number, since it is smaller than the sum of its proper divisors (16168572000).

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

4248871200 is a wasteful number, since it uses less digits than its factorization.

4248871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4248871200 is about 65183.3659762980. The cubic root of 4248871200 is about 1619.6624811248.

The spelling of 4248871200 in words is "four billion, two hundred forty-eight million, eight hundred seventy-one thousand, two hundred".