47876400 has 480 divisors, whose sum is σ = 206653440. Its totient is φ = 10368000.

The previous prime is 47876359. The next prime is 47876407. The reversal of 47876400 is 467874.

It is a happy number.

47876400 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 640 + 0 = 666.

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 (47876407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1544385 + ... + 1544415.

It is an arithmetic number, because the mean of its divisors is an integer number (430528).

Almost surely, 2^47876400 is an apocalyptic number.

47876400 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 47876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103326720).

47876400 is an abundant number, since it is smaller than the sum of its proper divisors (158777040).

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

47876400 is a wasteful number, since it uses less digits than its factorization.

47876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47876400 is about 6919.2774189217. The cubic root of 47876400 is about 363.1119114000. Note that the first 3 decimals are identical.

The spelling of 47876400 in words is "forty-seven million, eight hundred seventy-six thousand, four hundred".