47345600 has 84 divisors (see below), whose sum is σ = 117921024. Its totient is φ = 18708480.

The previous prime is 47345593. The next prime is 47345647. The reversal of 47345600 is 654374.

47345600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 203084 + ... + 203316.

Almost surely, 2^47345600 is an apocalyptic number.

47345600 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 47345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512).

47345600 is an abundant number, since it is smaller than the sum of its proper divisors (70575424).

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

47345600 is a wasteful number, since it uses less digits than its factorization.

47345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 47345600 is about 6880.8139053458. The cubic root of 47345600 is about 361.7649950554.

Adding to 47345600 its reverse (654374), we get a palindrome (47999974).

The spelling of 47345600 in words is "forty-seven million, three hundred forty-five thousand, six hundred".