48016800 has 432 divisors, whose sum is σ = 199049760. Its totient is φ = 11197440.

The previous prime is 48016757. The next prime is 48016807. The reversal of 48016800 is 861084.

48016800 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 (432).

It is a super-2 number, since 2×48016800² = 4611226164480000, which contains 22 as substring.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48016807) 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 71 ways as a sum of consecutive naturals, for example, 2527191 + ... + 2527209.

Almost surely, 2^48016800 is an apocalyptic number.

48016800 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 48016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99524880).

48016800 is an abundant number, since it is smaller than the sum of its proper divisors (151032960).

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

48016800 is a wasteful number, since it uses less digits than its factorization.

48016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

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

The square root of 48016800 is about 6929.4155597713. The cubic root of 48016800 is about 363.4665131013.

Adding to 48016800 its reverse (861084), we get a palindrome (48877884).

The spelling of 48016800 in words is "forty-eight million, sixteen thousand, eight hundred".