49456716 has 96 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 14724864.

The previous prime is 49456709. The next prime is 49456733. The reversal of 49456716 is 61765494.

49456716 = T₁ + T₂ + ... + T₆₆₆.

49456716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

49456716 is a nontrivial binomial coefficient, being equal to C(668, 3).

It is an unprimeable number.

It is the 666-th tetrahedral 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 31 ways as a sum of consecutive naturals, for example, 296065 + ... + 296231.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^49456716 is an apocalyptic number.

49456716 is a gapful number since it is divisible by the number (46) 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 49456716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

49456716 is an abundant number, since it is smaller than the sum of its proper divisors (79244724).

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

49456716 is a wasteful number, since it uses less digits than its factorization.

49456716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 49456716 is about 7032.5469070601. The cubic root of 49456716 is about 367.0639708122.

The spelling of 49456716 in words is "forty-nine million, four hundred fifty-six thousand, seven hundred sixteen".