49584080 has 160 divisors (see below), whose sum is σ = 145824000. Its totient is φ = 15579648.

The previous prime is 49584079. The next prime is 49584083. The reversal of 49584080 is 8048594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49584083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356651 + ... + 356789.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^49584080 is an apocalyptic number.

49584080 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 49584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912000).

49584080 is an abundant number, since it is smaller than the sum of its proper divisors (96239920).

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

49584080 is a wasteful number, since it uses less digits than its factorization.

49584080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 49584080 is about 7041.5964099059. The cubic root of 49584080 is about 367.3787960093.

The spelling of 49584080 in words is "forty-nine million, five hundred eighty-four thousand, eighty".