49753360 has 40 divisors (see below), whose sum is σ = 115985880. Its totient is φ = 19848192.

The previous prime is 49753349. The next prime is 49753367. The reversal of 49753360 is 6335794.

49753360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10214416 + 39538944 = 3196^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (49753367) 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 7 ways as a sum of consecutive naturals, for example, 44974 + ... + 46066.

It is an arithmetic number, because the mean of its divisors is an integer number (2899647).

Almost surely, 2^49753360 is an apocalyptic number.

49753360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49753360 is an abundant number, since it is smaller than the sum of its proper divisors (66232520).

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

49753360 is a wasteful number, since it uses less digits than its factorization.

49753360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 49753360 is about 7053.6061698964. The cubic root of 49753360 is about 367.7963980868.

The spelling of 49753360 in words is "forty-nine million, seven hundred fifty-three thousand, three hundred sixty".