49563584 has 56 divisors (see below), whose sum is σ = 113080800. Its totient is φ = 21113856.

The previous prime is 49563583. The next prime is 49563589. The reversal of 49563584 is 48536594.

It is a tau number, because it is divible by the number of its divisors (56).

Its product of digits (518400) is a multiple of the sum of its prime divisors (675).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49563583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141842 + ... + 142190.

It is an arithmetic number, because the mean of its divisors is an integer number (2019300).

Almost surely, 2^49563584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56540400).

49563584 is an abundant number, since it is smaller than the sum of its proper divisors (63517216).

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

49563584 is a wasteful number, since it uses less digits than its factorization.

49563584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 49563584 is about 7040.1409076808. The cubic root of 49563584 is about 367.3281693193.

The spelling of 49563584 in words is "forty-nine million, five hundred sixty-three thousand, five hundred eighty-four".