8405000 has 60 divisors (see below), whose sum is σ = 20184945. Its totient is φ = 3280000.

The previous prime is 8404997. The next prime is 8405003. The reversal of 8405000 is 5048.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (8404997) and next prime (8405003).

It can be written as a sum of positive squares in 8 ways, for example, as 4726276 + 3678724 = 2174^2 + 1918^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2050.

It is a self number, because there is not a number n which added to its sum of digits gives 8405000.

It is not an unprimeable number, because it can be changed into a prime (8405003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 204980 + ... + 205020.

Almost surely, 2^8405000 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 8405000

8405000 is an abundant number, since it is smaller than the sum of its proper divisors (11779945).

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

8405000 is an equidigital number, since it uses as much as digits as its factorization.

8405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8405000 is about 2899.1378028648. The cubic root of 8405000 is about 203.3195965518.

It can be divided in two parts, 8 and 405000, that multiplied together give a square (3240000 = 1800²).

The spelling of 8405000 in words is "eight million, four hundred five thousand".