47285700 has 288 divisors, whose sum is σ = 179988480. Its totient is φ = 9292800.

The previous prime is 47285671. The next prime is 47285701. The reversal of 47285700 is 758274.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (47285701) 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, 531256 + ... + 531344.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^47285700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47285700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

47285700 is an abundant number, since it is smaller than the sum of its proper divisors (132702780).

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

47285700 is a wasteful number, since it uses less digits than its factorization.

47285700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 47285700 is about 6876.4598450075. The cubic root of 47285700 is about 361.6123665237.

The spelling of 47285700 in words is "forty-seven million, two hundred eighty-five thousand, seven hundred".