47086200 has 288 divisors, whose sum is σ = 187443360. Its totient is φ = 10368000.

The previous prime is 47086187. The next prime is 47086201. The reversal of 47086200 is 268074.

It is a super-2 number, since 2×47086200² = 4434220460880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47086201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466150 + ... + 466250.

It is an arithmetic number, because the mean of its divisors is an integer number (650845).

Almost surely, 2^47086200 is an apocalyptic number.

47086200 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 47086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93721680).

47086200 is an abundant number, since it is smaller than the sum of its proper divisors (140357160).

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

47086200 is a wasteful number, since it uses less digits than its factorization.

47086200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47086200 is about 6861.9385016189. The cubic root of 47086200 is about 361.1030979594.

The spelling of 47086200 in words is "forty-seven million, eighty-six thousand, two hundred".