47146320 has 320 divisors, whose sum is σ = 184988160. Its totient is φ = 10948608.

The previous prime is 47146313. The next prime is 47146357. The reversal of 47146320 is 2364174.

47146320 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 (27).

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, 645804 + ... + 645876.

It is an arithmetic number, because the mean of its divisors is an integer number (578088).

Almost surely, 2^47146320 is an apocalyptic number.

47146320 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 47146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

47146320 is an abundant number, since it is smaller than the sum of its proper divisors (137841840).

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

47146320 is a wasteful number, since it uses less digits than its factorization.

47146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47146320 is about 6866.3177904900. The cubic root of 47146320 is about 361.2567189437.

The spelling of 47146320 in words is "forty-seven million, one hundred forty-six thousand, three hundred twenty".