47854800 has 300 divisors, whose sum is σ = 197212576. Its totient is φ = 10886400.

The previous prime is 47854799. The next prime is 47854823. The reversal of 47854800 is 845874.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226695 + ... + 226905.

Almost surely, 2^47854800 is an apocalyptic number.

47854800 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 47854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98606288).

47854800 is an abundant number, since it is smaller than the sum of its proper divisors (149357776).

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

47854800 is a wasteful number, since it uses less digits than its factorization.

47854800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

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

The square root of 47854800 is about 6917.7163862072. The cubic root of 47854800 is about 363.0572957849.

It can be divided in two parts, 478 and 54800, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 47854800 in words is "forty-seven million, eight hundred fifty-four thousand, eight hundred".