4089800 has 108 divisors (see below), whose sum is σ = 11317635. Its totient is φ = 1372800.

The previous prime is 4089779. The next prime is 4089823. The reversal of 4089800 is 89804.

4089800 = 93² + 94² + ... + 235².

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 5 ways, for example, as 256036 + 3833764 = 506^2 + 1958^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1430.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 314594 + ... + 314606.

Almost surely, 2^4089800 is an apocalyptic number.

4089800 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 4089800

4089800 is an abundant number, since it is smaller than the sum of its proper divisors (7227835).

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

4089800 is a wasteful number, since it uses less digits than its factorization.

4089800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 4089800 is about 2022.3253941935. The cubic root of 4089800 is about 159.9192300666.

The spelling of 4089800 in words is "four million, eighty-nine thousand, eight hundred".