48816000 has 256 divisors, whose sum is σ = 181396800. Its totient is φ = 12902400.

The previous prime is 48815983. The next prime is 48816013. The reversal of 48816000 is 61884.

48816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 431944 + ... + 432056.

Almost surely, 2^48816000 is an apocalyptic number.

48816000 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 48816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90698400).

48816000 is an abundant number, since it is smaller than the sum of its proper divisors (132580800).

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

48816000 is a wasteful number, since it uses less digits than its factorization.

48816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

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

The square root of 48816000 is about 6986.8447814446. The cubic root of 48816000 is about 365.4719609352.

Adding to 48816000 its reverse (61884), we get a palindrome (48877884).

The spelling of 48816000 in words is "forty-eight million, eight hundred sixteen thousand".