47084800 has 108 divisors (see below), whose sum is σ = 133317856. Its totient is φ = 16128000.

The previous prime is 47084789. The next prime is 47084819. The reversal of 47084800 is 848074.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44275 + ... + 45325.

Almost surely, 2^47084800 is an apocalyptic number.

47084800 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 47084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66658928).

47084800 is an abundant number, since it is smaller than the sum of its proper divisors (86233056).

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

47084800 is a wasteful number, since it uses less digits than its factorization.

47084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 47084800 is about 6861.8364888709. The cubic root of 47084800 is about 361.0995190669.

The spelling of 47084800 in words is "forty-seven million, eighty-four thousand, eight hundred".