48061200 has 180 divisors, whose sum is σ = 169735664. Its totient is φ = 11616000.

The previous prime is 48061199. The next prime is 48061201. The reversal of 48061200 is 216084.

48061200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48061199) and next prime (48061201).

It is a super-3 number, since 3×48061200³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48061201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145035 + ... + 145365.

Almost surely, 2^48061200 is an apocalyptic number.

48061200 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 48061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84867832).

48061200 is an abundant number, since it is smaller than the sum of its proper divisors (121674464).

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

48061200 is a wasteful number, since it uses less digits than its factorization.

48061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 48061200 is about 6932.6185528990. The cubic root of 48061200 is about 363.5785082198.

Adding to 48061200 its reverse (216084), we get a palindrome (48277284).

It can be divided in two parts, 4806 and 1200, that added together give a palindrome (6006).

The spelling of 48061200 in words is "forty-eight million, sixty-one thousand, two hundred".