48716000 has 96 divisors (see below), whose sum is σ = 126191520. Its totient is φ = 18432000.

The previous prime is 48715963. The next prime is 48716009. The reversal of 48716000 is 61784.

48716000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48716009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75680 + ... + 76320.

It is an arithmetic number, because the mean of its divisors is an integer number (1314495).

Almost surely, 2^48716000 is an apocalyptic number.

48716000 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 48716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63095760).

48716000 is an abundant number, since it is smaller than the sum of its proper divisors (77475520).

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

48716000 is a wasteful number, since it uses less digits than its factorization.

48716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 48716000 is about 6979.6848066370. The cubic root of 48716000 is about 365.2222328386. Note that the first 4 decimals are identical.

Adding to 48716000 its reverse (61784), we get a palindrome (48777784).

The spelling of 48716000 in words is "forty-eight million, seven hundred sixteen thousand".