49761360 has 240 divisors, whose sum is σ = 187095168. Its totient is φ = 11750400.

The previous prime is 49761353. The next prime is 49761379. The reversal of 49761360 is 6316794.

49761360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 483069 + ... + 483171.

Almost surely, 2^49761360 is an apocalyptic number.

49761360 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 49761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93547584).

49761360 is an abundant number, since it is smaller than the sum of its proper divisors (137333808).

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

49761360 is a wasteful number, since it uses less digits than its factorization.

49761360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 49761360 is about 7054.1732329168. The cubic root of 49761360 is about 367.8161100787.

It can be divided in two parts, 4976 and 1360, that added together give a palindrome (6336).

The spelling of 49761360 in words is "forty-nine million, seven hundred sixty-one thousand, three hundred sixty".