48808800 has 108 divisors (see below), whose sum is σ = 172137420. Its totient is φ = 13013760.

The previous prime is 48808789. The next prime is 48808801. The reversal of 48808800 is 880884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48808801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3811 + ... + 10589.

It is an arithmetic number, because the mean of its divisors is an integer number (1593865).

Almost surely, 2^48808800 is an apocalyptic number.

48808800 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 48808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86068710).

48808800 is an abundant number, since it is smaller than the sum of its proper divisors (123328620).

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

48808800 is a wasteful number, since it uses less digits than its factorization.

48808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 48808800 is about 6986.3295084043. The cubic root of 48808800 is about 365.4539919121.

The spelling of 48808800 in words is "forty-eight million, eight hundred eight thousand, eight hundred".