48000800 has 72 divisors (see below), whose sum is σ = 121281300. Its totient is φ = 18529280.

The previous prime is 48000779. The next prime is 48000811. The reversal of 48000800 is 800084.

48000800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9709456 + 38291344 = 3116^2 + 6188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

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 11 ways as a sum of consecutive naturals, for example, 22166 + ... + 24234.

Almost surely, 2^48000800 is an apocalyptic number.

48000800 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 48000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60640650).

48000800 is an abundant number, since it is smaller than the sum of its proper divisors (73280500).

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

48000800 is a wasteful number, since it uses less digits than its factorization.

48000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 48000800 is about 6928.2609650619. The cubic root of 48000800 is about 363.4261375781.

Adding to 48000800 its reverse (800084), we get a palindrome (48800884).

The spelling of 48000800 in words is "forty-eight million, eight hundred", and thus it is an aban number.