49687440 has 240 divisors, whose sum is σ = 178113600. Its totient is φ = 11432960.

The previous prime is 49687439. The next prime is 49687441. The reversal of 49687440 is 4478694.

49687440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49687439) and next prime (49687441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 49687392 and 49687401.

It is not an unprimeable number, because it can be changed into a prime (49687441) 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 47 ways as a sum of consecutive naturals, for example, 842131 + ... + 842189.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^49687440 is an apocalyptic number.

49687440 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 49687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

49687440 is an abundant number, since it is smaller than the sum of its proper divisors (128426160).

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

49687440 is a wasteful number, since it uses less digits than its factorization.

49687440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 49687440 is about 7048.9318339731. The cubic root of 49687440 is about 367.6338907761.

The spelling of 49687440 in words is "forty-nine million, six hundred eighty-seven thousand, four hundred forty".