4785000 has 160 divisors (see below), whose sum is σ = 16869600. Its totient is φ = 1120000.

The previous prime is 4784963. The next prime is 4785031. The reversal of 4785000 is 5874.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164986 + ... + 165014.

It is an arithmetic number, because the mean of its divisors is an integer number (105435).

Almost surely, 2^4785000 is an apocalyptic number.

4785000 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 4785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8434800).

4785000 is an abundant number, since it is smaller than the sum of its proper divisors (12084600).

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

4785000 is a wasteful number, since it uses less digits than its factorization.

4785000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4785000 is about 2187.4642854227. The cubic root of 4785000 is about 168.5106345667.

The spelling of 4785000 in words is "four million, seven hundred eighty-five thousand".