4801255200 has 648 divisors, whose sum is σ = 20376195840. Its totient is φ = 1059609600.

The previous prime is 4801255189. The next prime is 4801255201. The reversal of 4801255200 is 25521084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4801255201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10936581 + ... + 10937019.

Almost surely, 2^4801255200 is an apocalyptic number.

4801255200 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 4801255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

4801255200 is an abundant number, since it is smaller than the sum of its proper divisors (15574940640).

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

4801255200 is a wasteful number, since it uses less digits than its factorization.

4801255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4801255200 is about 69291.0903363484. The cubic root of 4801255200 is about 1687.0123562165.

Adding to 4801255200 its reverse (25521084), we get a palindrome (4826776284).

The spelling of 4801255200 in words is "four billion, eight hundred one million, two hundred fifty-five thousand, two hundred".