48508200 has 192 divisors, whose sum is σ = 180196800. Its totient is φ = 11923200.

The previous prime is 48508199. The next prime is 48508217. The reversal of 48508200 is 280584.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69855 + ... + 70545.

It is an arithmetic number, because the mean of its divisors is an integer number (938525).

Almost surely, 2^48508200 is an apocalyptic number.

48508200 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 48508200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90098400).

48508200 is an abundant number, since it is smaller than the sum of its proper divisors (131688600).

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

48508200 is a wasteful number, since it uses less digits than its factorization.

48508200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

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

The square root of 48508200 is about 6964.7828393999. The cubic root of 48508200 is about 364.7022028357.

Adding to 48508200 its reverse (280584), we get a palindrome (48788784).

The spelling of 48508200 in words is "forty-eight million, five hundred eight thousand, two hundred".