47586448 has 160 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 17385984.

The previous prime is 47586439. The next prime is 47586463. The reversal of 47586448 is 84468574.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 47586398 and 47586407.

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 31 ways as a sum of consecutive naturals, for example, 1640898 + ... + 1640926.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^47586448 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 47586448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

47586448 is an abundant number, since it is smaller than the sum of its proper divisors (77405552).

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

47586448 is a wasteful number, since it uses less digits than its factorization.

47586448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The square root of 47586448 is about 6898.2931222151. The cubic root of 47586448 is about 362.3773930185.

The spelling of 47586448 in words is "forty-seven million, five hundred eighty-six thousand, four hundred forty-eight".