4785300 has 108 divisors (see below), whose sum is σ = 16192540. Its totient is φ = 1175040.

The previous prime is 4785293. The next prime is 4785307. The reversal of 4785300 is 35874.

It is an interprime number because it is at equal distance from previous prime (4785293) and next prime (4785307).

It can be written as a sum of positive squares in 6 ways, for example, as 41616 + 4743684 = 204^2 + 2178^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11496 + ... + 11904.

Almost surely, 2^4785300 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 4785300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096270).

4785300 is an abundant number, since it is smaller than the sum of its proper divisors (11407240).

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

4785300 is a wasteful number, since it uses less digits than its factorization.

4785300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

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

The square root of 4785300 is about 2187.5328568961. The cubic root of 4785300 is about 168.5141561365.

It can be divided in two parts, 478 and 5300, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 4785300 in words is "four million, seven hundred eighty-five thousand, three hundred".