49738960 has 80 divisors (see below), whose sum is σ = 124724160. Its totient is φ = 18385920.

The previous prime is 49738937. The next prime is 49738987. The reversal of 49738960 is 6983794.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49738960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64980 + ... + 65740.

It is an arithmetic number, because the mean of its divisors is an integer number (1559052).

Almost surely, 2^49738960 is an apocalyptic number.

49738960 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 49738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62362080).

49738960 is an abundant number, since it is smaller than the sum of its proper divisors (74985200).

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

49738960 is a wasteful number, since it uses less digits than its factorization.

49738960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 49738960 is about 7052.5853415609. The cubic root of 49738960 is about 367.7609111758.

The spelling of 49738960 in words is "forty-nine million, seven hundred thirty-eight thousand, nine hundred sixty".