4902355200 has 216 divisors, whose sum is σ = 16250584896. Its totient is φ = 1301504000.

The previous prime is 4902355193. The next prime is 4902355201. The reversal of 4902355200 is 25532094.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4902355201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5970790 + ... + 5971610.

Almost surely, 2^4902355200 is an apocalyptic number.

4902355200 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 4902355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125292448).

4902355200 is an abundant number, since it is smaller than the sum of its proper divisors (11348229696).

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

4902355200 is a wasteful number, since it uses less digits than its factorization.

4902355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 4902355200 is about 70016.8208361391. The cubic root of 4902355200 is about 1698.7713382752.

Adding to 4902355200 its reverse (25532094), we get a palindrome (4927887294).

The spelling of 4902355200 in words is "four billion, nine hundred two million, three hundred fifty-five thousand, two hundred".