47914160 has 120 divisors (see below), whose sum is σ = 137401920. Its totient is φ = 15439872.

The previous prime is 47914151. The next prime is 47914171. The reversal of 47914160 is 6141974.

47914160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 66281 + ... + 66999.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 2^47914160 is an apocalyptic number.

47914160 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 47914160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68700960).

47914160 is an abundant number, since it is smaller than the sum of its proper divisors (89487760).

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

47914160 is a wasteful number, since it uses less digits than its factorization.

47914160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 47914160 is about 6922.0054897407. The cubic root of 47914160 is about 363.2073481406.

The spelling of 47914160 in words is "forty-seven million, nine hundred fourteen thousand, one hundred sixty".