49865760 has 384 divisors, whose sum is σ = 213373440. Its totient is φ = 10616832.

The previous prime is 49865749. The next prime is 49865773. The reversal of 49865760 is 6756894.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514032 + ... + 514128.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^49865760 is an apocalyptic number.

49865760 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 49865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

49865760 is an abundant number, since it is smaller than the sum of its proper divisors (163507680).

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

49865760 is a wasteful number, since it uses less digits than its factorization.

49865760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 49865760 is about 7061.5692307022. The cubic root of 49865760 is about 368.0731581081.

It can be divided in two parts, 49865 and 760, that added together give a 4-th power (50625 = 15⁴).

The spelling of 49865760 in words is "forty-nine million, eight hundred sixty-five thousand, seven hundred sixty".