47584240 has 80 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 16544000.

The previous prime is 47584237. The next prime is 47584253. The reversal of 47584240 is 4248574.

It is a happy number.

47584240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 47584196 and 47584205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19065 + ... + 21415.

Almost surely, 2^47584240 is an apocalyptic number.

47584240 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 47584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

47584240 is an abundant number, since it is smaller than the sum of its proper divisors (78407696).

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

47584240 is a wasteful number, since it uses less digits than its factorization.

47584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 47584240 is about 6898.1330807690. The cubic root of 47584240 is about 362.3717881899.

It can be divided in two parts, 4758 and 4240, that added together give a palindrome (8998).

The spelling of 47584240 in words is "forty-seven million, five hundred eighty-four thousand, two hundred forty".