47385000 has 280 divisors, whose sum is σ = 179262930. Its totient is φ = 11664000.

The previous prime is 47384989. The next prime is 47385029. The reversal of 47385000 is 58374.

It can be written as a sum of positive squares in 5 ways, for example, as 352836 + 47032164 = 594^2 + 6858^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 69 ways as a sum of consecutive naturals, for example, 3644994 + ... + 3645006.

Almost surely, 2^47385000 is an apocalyptic number.

47385000 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 47385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631465).

47385000 is an abundant number, since it is smaller than the sum of its proper divisors (131877930).

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

47385000 is an equidigital number, since it uses as much as digits as its factorization.

47385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47385000 is about 6883.6763433503. The cubic root of 47385000 is about 361.8653182730.

The spelling of 47385000 in words is "forty-seven million, three hundred eighty-five thousand".