49538960 has 80 divisors (see below), whose sum is σ = 120795840. Its totient is φ = 18869760.

The previous prime is 49538959. The next prime is 49538963. The reversal of 49538960 is 6983594.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (49538963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303839 + ... + 304001.

It is an arithmetic number, because the mean of its divisors is an integer number (1509948).

Almost surely, 2^49538960 is an apocalyptic number.

49538960 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 49538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60397920).

49538960 is an abundant number, since it is smaller than the sum of its proper divisors (71256880).

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

49538960 is a wasteful number, since it uses less digits than its factorization.

49538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 49538960 is about 7038.3918617821. The cubic root of 49538960 is about 367.2673276930.

The spelling of 49538960 in words is "forty-nine million, five hundred thirty-eight thousand, nine hundred sixty".