49460880 has 160 divisors (see below), whose sum is σ = 178560000. Its totient is φ = 11091456.

The previous prime is 49460867. The next prime is 49460881. The reversal of 49460880 is 8806494.

49460880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49460881) 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 31 ways as a sum of consecutive naturals, for example, 98871 + ... + 99369.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^49460880 is an apocalyptic number.

49460880 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 49460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280000).

49460880 is an abundant number, since it is smaller than the sum of its proper divisors (129099120).

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

49460880 is a wasteful number, since it uses less digits than its factorization.

49460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 49460880 is about 7032.8429528890. The cubic root of 49460880 is about 367.0742721531.

Adding to 49460880 its product of nonzero digits (55296), we get a triangular number (49516176 = T₉₉₅₁).

The spelling of 49460880 in words is "forty-nine million, four hundred sixty thousand, eight hundred eighty".