49756480 has 56 divisors (see below), whose sum is σ = 120472200. Its totient is φ = 19568640.

The previous prime is 49756471. The next prime is 49756513. The reversal of 49756480 is 8465794.

49756480 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 3625216 + 46131264 = 1904^2 + 6792^2 .

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 7 ways as a sum of consecutive naturals, for example, 18246 + ... + 20794.

Almost surely, 2^49756480 is an apocalyptic number.

49756480 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 49756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60236100).

49756480 is an abundant number, since it is smaller than the sum of its proper divisors (70715720).

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

49756480 is a wasteful number, since it uses less digits than its factorization.

49756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 49756480 is about 7053.8273298969. The cubic root of 49756480 is about 367.8040860150.

The spelling of 49756480 in words is "forty-nine million, seven hundred fifty-six thousand, four hundred eighty".