4800252600 has 576 divisors, whose sum is σ = 20071527840. Its totient is φ = 1010073600.

The previous prime is 4800252599. The next prime is 4800252619. The reversal of 4800252600 is 62520084.

4800252600 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 2 + 52 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4375252 + ... + 4376348.

Almost surely, 2^4800252600 is an apocalyptic number.

4800252600 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 4800252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035763920).

4800252600 is an abundant number, since it is smaller than the sum of its proper divisors (15271275240).

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

4800252600 is a wasteful number, since it uses less digits than its factorization.

4800252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4800252600 is about 69283.8552622471. The cubic root of 4800252600 is about 1686.8949205138.

Adding to 4800252600 its reverse (62520084), we get a palindrome (4862772684).

The spelling of 4800252600 in words is "four billion, eight hundred million, two hundred fifty-two thousand, six hundred".