49718880 has 192 divisors, whose sum is σ = 184524480. Its totient is φ = 12460032.

The previous prime is 49718873. The next prime is 49718881. The reversal of 49718880 is 8881794.

49718880 is a `hidden beast` number, since 497 + 1 + 88 + 80 = 666.

49718880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49718881) 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, 73102 + ... + 73778.

It is an arithmetic number, because the mean of its divisors is an integer number (961065).

Almost surely, 2^49718880 is an apocalyptic number.

49718880 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 49718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92262240).

49718880 is an abundant number, since it is smaller than the sum of its proper divisors (134805600).

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

49718880 is a wasteful number, since it uses less digits than its factorization.

49718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 49718880 is about 7051.1616064305. The cubic root of 49718880 is about 367.7114152135.

The spelling of 49718880 in words is "forty-nine million, seven hundred eighteen thousand, eight hundred eighty".