8485300 has 36 divisors (see below), whose sum is σ = 18772236. Its totient is φ = 3328000.

The previous prime is 8485277. The next prime is 8485303. The reversal of 8485300 is 35848.

8485300 = 24³ + 25³ + ... + 76³.

It can be written as a sum of positive squares in 6 ways, for example, as 944784 + 7540516 = 972^2 + 2746^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8485303) 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 11 ways as a sum of consecutive naturals, for example, 4500 + ... + 6100.

It is an arithmetic number, because the mean of its divisors is an integer number (521451).

Almost surely, 2^8485300 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 8485300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9386118).

8485300 is an abundant number, since it is smaller than the sum of its proper divisors (10286936).

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

8485300 is a wasteful number, since it uses less digits than its factorization.

8485300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 8485300 is about 2912.9538273031. The cubic root of 8485300 is about 203.9650395043.

It can be divided in two parts, 848 and 5300, that multiplied together give a square (4494400 = 2120²).

The spelling of 8485300 in words is "eight million, four hundred eighty-five thousand, three hundred".