47584000 has 72 divisors (see below), whose sum is σ = 118617408. Its totient is φ = 19020800.

The previous prime is 47583997. The next prime is 47584001. The reversal of 47584000 is 48574.

It is a self number, because there is not a number n which added to its sum of digits gives 47584000.

It is not an unprimeable number, because it can be changed into a prime (47584001) 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, 31257 + ... + 32743.

It is an arithmetic number, because the mean of its divisors is an integer number (1647464).

Almost surely, 2^47584000 is an apocalyptic number.

47584000 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 47584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59308704).

47584000 is an abundant number, since it is smaller than the sum of its proper divisors (71033408).

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

47584000 is an equidigital number, since it uses as much as digits as its factorization.

47584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 47584000 is about 6898.1156847359. The cubic root of 47584000 is about 362.3711789590.

The spelling of 47584000 in words is "forty-seven million, five hundred eighty-four thousand".