4185000 has 160 divisors (see below), whose sum is σ = 14995200. Its totient is φ = 1080000.

The previous prime is 4184989. The next prime is 4185007. The reversal of 4185000 is 5814.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4185007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134985 + ... + 135015.

It is an arithmetic number, because the mean of its divisors is an integer number (93720).

Almost surely, 2^4185000 is an apocalyptic number.

4185000 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 4185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497600).

4185000 is an abundant number, since it is smaller than the sum of its proper divisors (10810200).

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

4185000 is a wasteful number, since it uses less digits than its factorization.

4185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4185000 is about 2045.7272545479. The cubic root of 4185000 is about 161.1505606483.

The spelling of 4185000 in words is "four million, one hundred eighty-five thousand".