47858400 has 324 divisors, whose sum is σ = 187066152. Its totient is φ = 11489280.

The previous prime is 47858399. The next prime is 47858401. The reversal of 47858400 is 485874.

47858400 is a `hidden beast` number, since 4 + 78 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47858399) and next prime (47858401).

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 (47858401) 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 53 ways as a sum of consecutive naturals, for example, 2080789 + ... + 2080811.

Almost surely, 2^47858400 is an apocalyptic number.

47858400 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 47858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93533076).

47858400 is an abundant number, since it is smaller than the sum of its proper divisors (139207752).

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

47858400 is a wasteful number, since it uses less digits than its factorization.

47858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 47858400 is about 6917.9765827878. The cubic root of 47858400 is about 363.0663995285.

Adding to 47858400 its sum of digits (36), we get a triangular number (47858436 = T₉₇₈₃).

The spelling of 47858400 in words is "forty-seven million, eight hundred fifty-eight thousand, four hundred".