48208800 has 144 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 12579840.

The previous prime is 48208777. The next prime is 48208829. The reversal of 48208800 is 880284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127011 + ... + 127389.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^48208800 is an apocalyptic number.

48208800 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 48208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

48208800 is an abundant number, since it is smaller than the sum of its proper divisors (112093440).

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

48208800 is a wasteful number, since it uses less digits than its factorization.

48208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 48208800 is about 6943.2557204816. The cubic root of 48208800 is about 363.9503212804.

The spelling of 48208800 in words is "forty-eight million, two hundred eight thousand, eight hundred".