47449584 has 320 divisors, whose sum is σ = 179988480. Its totient is φ = 11612160.

The previous prime is 47449579. The next prime is 47449603. The reversal of 47449584 is 48594474.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668269 + ... + 668339.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^47449584 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 47449584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

47449584 is an abundant number, since it is smaller than the sum of its proper divisors (132538896).

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

47449584 is a wasteful number, since it uses less digits than its factorization.

47449584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 47449584 is about 6888.3658439430. The cubic root of 47449584 is about 362.0296466466.

The spelling of 47449584 in words is "forty-seven million, four hundred forty-nine thousand, five hundred eighty-four".