47438160 has 320 divisors, whose sum is σ = 195416064. Its totient is φ = 9216000.

The previous prime is 47438093. The next prime is 47438203. The reversal of 47438160 is 6183474.

47438160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 314085 + ... + 314235.

Almost surely, 2^47438160 is an apocalyptic number.

47438160 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 47438160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97708032).

47438160 is an abundant number, since it is smaller than the sum of its proper divisors (147977904).

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

47438160 is a wasteful number, since it uses less digits than its factorization.

47438160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 47438160 is about 6887.5365697759. The cubic root of 47438160 is about 362.0005901316. Note that the first 3 decimals are identical.

The spelling of 47438160 in words is "forty-seven million, four hundred thirty-eight thousand, one hundred sixty".