47916000 has 288 divisors, whose sum is σ = 187046496. Its totient is φ = 11616000.

The previous prime is 47915977. The next prime is 47916007. The reversal of 47916000 is 61974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

47916000 is nontrivially palindromic in base 14.

47916000 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 (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47916007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4355995 + ... + 4356005.

It is an arithmetic number, because the mean of its divisors is an integer number (649467).

Almost surely, 2^47916000 is an apocalyptic number.

47916000 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 47916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93523248).

47916000 is an abundant number, since it is smaller than the sum of its proper divisors (139130496).

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

47916000 is a wasteful number, since it uses less digits than its factorization.

47916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 47916000 is about 6922.1383979230. The cubic root of 47916000 is about 363.2119973784.

Adding to 47916000 its reverse (61974), we get a palindrome (47977974).

The spelling of 47916000 in words is "forty-seven million, nine hundred sixteen thousand".