48180000 has 240 divisors, whose sum is σ = 174769056. Its totient is φ = 11520000.

The previous prime is 48179993. The next prime is 48180017. The reversal of 48180000 is 8184.

48180000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 659964 + ... + 660036.

Almost surely, 2^48180000 is an apocalyptic number.

48180000 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 48180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87384528).

48180000 is an abundant number, since it is smaller than the sum of its proper divisors (126589056).

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

48180000 is a wasteful number, since it uses less digits than its factorization.

48180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 48180000 is about 6941.1814556313. The cubic root of 48180000 is about 363.8778320445.

Adding to 48180000 its reverse (8184), we get a palindrome (48188184).

The spelling of 48180000 in words is "forty-eight million, one hundred eighty thousand".