47948400 has 180 divisors, whose sum is σ = 175401720. Its totient is φ = 12096000.

The previous prime is 47948377. The next prime is 47948401. The reversal of 47948400 is 484974.

47948400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47948401) 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 35 ways as a sum of consecutive naturals, for example, 68050 + ... + 68750.

It is an arithmetic number, because the mean of its divisors is an integer number (974454).

Almost surely, 2^47948400 is an apocalyptic number.

47948400 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 47948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87700860).

47948400 is an abundant number, since it is smaller than the sum of its proper divisors (127453320).

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

47948400 is a wasteful number, since it uses less digits than its factorization.

47948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47948400 is about 6924.4783197003. The cubic root of 47948400 is about 363.2938448981.

The spelling of 47948400 in words is "forty-seven million, nine hundred forty-eight thousand, four hundred".