47848320 has 320 divisors, whose sum is σ = 186611040. Its totient is φ = 11612160.

The previous prime is 47848313. The next prime is 47848321. The reversal of 47848320 is 2384874.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47848321) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 673885 + ... + 673955.

Almost surely, 2^47848320 is an apocalyptic number.

47848320 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 47848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93305520).

47848320 is an abundant number, since it is smaller than the sum of its proper divisors (138762720).

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

47848320 is a wasteful number, since it uses less digits than its factorization.

47848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 47848320 is about 6917.2480076979. The cubic root of 47848320 is about 363.0409078957.

The spelling of 47848320 in words is "forty-seven million, eight hundred forty-eight thousand, three hundred twenty".