4845349600 has 576 divisors, whose sum is σ = 15958978560. Its totient is φ = 1393459200.

The previous prime is 4845349577. The next prime is 4845349603. The reversal of 4845349600 is 69435484.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4845349603) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42879144 + ... + 42879256.

It is an arithmetic number, because the mean of its divisors is an integer number (27706560).

Almost surely, 2^4845349600 is an apocalyptic number.

4845349600 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 4845349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

4845349600 is an abundant number, since it is smaller than the sum of its proper divisors (11113628960).

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

4845349600 is a wasteful number, since it uses less digits than its factorization.

4845349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 4845349600 is about 69608.5454524084. The cubic root of 4845349600 is about 1692.1610951207.

The spelling of 4845349600 in words is "four billion, eight hundred forty-five million, three hundred forty-nine thousand, six hundred".