4205000 has 60 divisors (see below), whose sum is σ = 10203765. Its totient is φ = 1624000.

The previous prime is 4204999. The next prime is 4205009. The reversal of 4205000 is 5024.

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 can be written as a sum of positive squares in 8 ways, for example, as 276676 + 3928324 = 526^2 + 1982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1450.

It is not an unprimeable number, because it can be changed into a prime (4205009) 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 14 ways as a sum of consecutive naturals, for example, 144986 + ... + 145014.

Almost surely, 2^4205000 is an apocalyptic number.

4205000 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 4205000

4205000 is an abundant number, since it is smaller than the sum of its proper divisors (5998765).

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

4205000 is an equidigital number, since it uses as much as digits as its factorization.

4205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4205000 is about 2050.6096654410. The cubic root of 4205000 is about 161.4068641588.

The spelling of 4205000 in words is "four million, two hundred five thousand".