49746816 has 192 divisors, whose sum is σ = 169728000. Its totient is φ = 13685760.

The previous prime is 49746791. The next prime is 49746839. The reversal of 49746816 is 61864794.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249885 + ... + 250083.

It is an arithmetic number, because the mean of its divisors is an integer number (884000).

Almost surely, 2^49746816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84864000).

49746816 is an abundant number, since it is smaller than the sum of its proper divisors (119981184).

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

49746816 is a wasteful number, since it uses less digits than its factorization.

49746816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49746816 is about 7053.1422784458. The cubic root of 49746816 is about 367.7802721061.

The spelling of 49746816 in words is "forty-nine million, seven hundred forty-six thousand, eight hundred sixteen".