47605400 has 96 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 17846400.

The previous prime is 47605391. The next prime is 47605403. The reversal of 47605400 is 450674.

47605400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47605400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47605403) by changing a digit.

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, 363335 + ... + 363465.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2^47605400 is an apocalyptic number.

47605400 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 47605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

47605400 is an abundant number, since it is smaller than the sum of its proper divisors (70244200).

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

47605400 is a wasteful number, since it uses less digits than its factorization.

47605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 47605400 is about 6899.6666586147. Note that the first 4 decimals coincide. The cubic root of 47605400 is about 362.4254940019.

The spelling of 47605400 in words is "forty-seven million, six hundred five thousand, four hundred".