48081600 has 420 divisors, whose sum is σ = 205794864. Its totient is φ = 10782720.

The previous prime is 48081581. The next prime is 48081601. The reversal of 48081600 is 618084.

48081600 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 (420).

It is a super-3 number, since 3×48081600³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48081601) 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 59 ways as a sum of consecutive naturals, for example, 907174 + ... + 907226.

Almost surely, 2^48081600 is an apocalyptic number.

48081600 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 48081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102897432).

48081600 is an abundant number, since it is smaller than the sum of its proper divisors (157713264).

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

48081600 is a wasteful number, since it uses less digits than its factorization.

48081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48081600 is about 6934.0897023330. The cubic root of 48081600 is about 363.6299423109.

Adding to 48081600 its reverse (618084), we get a palindrome (48699684).

The spelling of 48081600 in words is "forty-eight million, eighty-one thousand, six hundred".