49384960 has 80 divisors (see below), whose sum is σ = 120206592. Its totient is φ = 19456000.

The previous prime is 49384939. The next prime is 49384987. The reversal of 49384960 is 6948394.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258465 + ... + 258655.

Almost surely, 2^49384960 is an apocalyptic number.

49384960 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 49384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60103296).

49384960 is an abundant number, since it is smaller than the sum of its proper divisors (70821632).

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

49384960 is a wasteful number, since it uses less digits than its factorization.

49384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 49384960 is about 7027.4433473348. The cubic root of 49384960 is about 366.8863623698.

The spelling of 49384960 in words is "forty-nine million, three hundred eighty-four thousand, nine hundred sixty".