49721760 has 288 divisors, whose sum is σ = 191999808. Its totient is φ = 11612160.

The previous prime is 49721741. The next prime is 49721761. The reversal of 49721760 is 6712794.

It is a happy number.

49721760 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 (288).

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

It is not an unprimeable number, because it can be changed into a prime (49721761) 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 47 ways as a sum of consecutive naturals, for example, 681084 + ... + 681156.

It is an arithmetic number, because the mean of its divisors is an integer number (666666).

Almost surely, 2^49721760 is an apocalyptic number.

49721760 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 49721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95999904).

49721760 is an abundant number, since it is smaller than the sum of its proper divisors (142278048).

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

49721760 is a wasteful number, since it uses less digits than its factorization.

49721760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 49721760 is about 7051.3658251434. The cubic root of 49721760 is about 367.7185150545.

The spelling of 49721760 in words is "forty-nine million, seven hundred twenty-one thousand, seven hundred sixty".