49716000 has 144 divisors (see below), whose sum is σ = 176569848. Its totient is φ = 13248000.

The previous prime is 49715999. The next prime is 49716013. The reversal of 49716000 is 61794.

49716000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13571856 + 36144144 = 3684^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35310 + ... + 36690.

Almost surely, 2^49716000 is an apocalyptic number.

49716000 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 49716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88284924).

49716000 is an abundant number, since it is smaller than the sum of its proper divisors (126853848).

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

49716000 is a wasteful number, since it uses less digits than its factorization.

49716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 49716000 is about 7050.9573818028. The cubic root of 49716000 is about 367.7043150983.

Adding to 49716000 its reverse (61794), we get a palindrome (49777794).

The spelling of 49716000 in words is "forty-nine million, seven hundred sixteen thousand".