48716800 has 132 divisors (see below), whose sum is σ = 132498216. Its totient is φ = 17612800.

The previous prime is 48716797. The next prime is 48716809. The reversal of 48716800 is 861784.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48716809) 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 11 ways as a sum of consecutive naturals, for example, 281514 + ... + 281686.

Almost surely, 2^48716800 is an apocalyptic number.

48716800 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 48716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66249108).

48716800 is an abundant number, since it is smaller than the sum of its proper divisors (83781416).

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

48716800 is a wasteful number, since it uses less digits than its factorization.

48716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 48716800 is about 6979.7421155799. The cubic root of 48716800 is about 365.2242320188.

The spelling of 48716800 in words is "forty-eight million, seven hundred sixteen thousand, eight hundred".