4903200 has 144 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 1301760.

The previous prime is 4903193. The next prime is 4903201. The reversal of 4903200 is 23094.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4903201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21487 + ... + 21713.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 2^4903200 is an apocalyptic number.

4903200 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 4903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

4903200 is an abundant number, since it is smaller than the sum of its proper divisors (12908160).

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

4903200 is a wasteful number, since it uses less digits than its factorization.

4903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4903200 is about 2214.3170504695. The cubic root of 4903200 is about 169.8868913117.

Adding to 4903200 its reverse (23094), we get a palindrome (4926294).

The spelling of 4903200 in words is "four million, nine hundred three thousand, two hundred".