4852800 has 126 divisors (see below), whose sum is σ = 17299178. Its totient is φ = 1290240.

The previous prime is 4852787. The next prime is 4852807. The reversal of 4852800 is 82584.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 4769856 = 288^2 + 2184^2 .

It is not an unprimeable number, because it can be changed into a prime (4852807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14232 + ... + 14568.

Almost surely, 2^4852800 is an apocalyptic number.

4852800 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 4852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649589).

4852800 is an abundant number, since it is smaller than the sum of its proper divisors (12446378).

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

4852800 is a wasteful number, since it uses less digits than its factorization.

4852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4852800 is about 2202.9071700823. The cubic root of 4852800 is about 169.3027962101.

The spelling of 4852800 in words is "four million, eight hundred fifty-two thousand, eight hundred".