4090000 has 50 divisors (see below), whose sum is σ = 9926510. Its totient is φ = 1632000.

The previous prime is 4089973. The next prime is 4090001. The reversal of 4090000 is 904.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 719104 + 3370896 = 848^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (4090001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9796 + ... + 10204.

Almost surely, 2^4090000 is an apocalyptic number.

4090000 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 4090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963255).

4090000 is an abundant number, since it is smaller than the sum of its proper divisors (5836510).

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

4090000 is an equidigital number, since it uses as much as digits as its factorization.

4090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 4090000 is about 2022.3748416157. The cubic root of 4090000 is about 159.9218368220.

Adding to 4090000 its reverse (904), we get a palindrome (4090904).

The spelling of 4090000 in words is "four million, ninety thousand".