48556800 has 216 divisors, whose sum is σ = 178686480. Its totient is φ = 12902400.

The previous prime is 48556789. The next prime is 48556801. The reversal of 48556800 is 865584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (48556801) 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 23 ways as a sum of consecutive naturals, for example, 172660 + ... + 172940.

Almost surely, 2^48556800 is an apocalyptic number.

48556800 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 48556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89343240).

48556800 is an abundant number, since it is smaller than the sum of its proper divisors (130129680).

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

48556800 is a wasteful number, since it uses less digits than its factorization.

48556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 48556800 is about 6968.2709476598. The cubic root of 48556800 is about 364.8239596452.

The spelling of 48556800 in words is "forty-eight million, five hundred fifty-six thousand, eight hundred".