49785600 has 108 divisors (see below), whose sum is σ = 164366216. Its totient is φ = 13271040.

The previous prime is 49785581. The next prime is 49785601. The reversal of 49785600 is 658794.

49785600 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 (49785601) 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 11 ways as a sum of consecutive naturals, for example, 17904 + ... + 20496.

Almost surely, 2^49785600 is an apocalyptic number.

49785600 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 49785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82183108).

49785600 is an abundant number, since it is smaller than the sum of its proper divisors (114580616).

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

49785600 is a wasteful number, since it uses less digits than its factorization.

49785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 49785600 is about 7055.8911556231. The cubic root of 49785600 is about 367.8758245184.

The spelling of 49785600 in words is "forty-nine million, seven hundred eighty-five thousand, six hundred".