4248909600 has 576 divisors, whose sum is σ = 16126967808. Its totient is φ = 963072000.

The previous prime is 4248909589. The next prime is 4248909601. The reversal of 4248909600 is 69098424.

It is not an unprimeable number, because it can be changed into a prime (4248909601) 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, 22245505 + ... + 22245695.

It is an arithmetic number, because the mean of its divisors is an integer number (27998208).

Almost surely, 2^4248909600 is an apocalyptic number.

4248909600 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 4248909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063483904).

4248909600 is an abundant number, since it is smaller than the sum of its proper divisors (11878058208).

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

4248909600 is a wasteful number, since it uses less digits than its factorization.

4248909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4248909600 is about 65183.6605293075. The cubic root of 4248909600 is about 1619.6673604484.

The spelling of 4248909600 in words is "four billion, two hundred forty-eight million, nine hundred nine thousand, six hundred".