408090 has 32 divisors (see below), whose sum is σ = 999936. Its totient is φ = 106560.

The previous prime is 408077. The next prime is 408091. The reversal of 408090 is 90804.

408090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408090.

It is not an unprimeable number, because it can be changed into a prime (408091) by changing a digit.

408090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719 + ... + 1941.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁴⁰⁸⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

408090 is an abundant number, since it is smaller than the sum of its proper divisors (591846).

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

408090 is a wasteful number, since it uses less digits than its factorization.

408090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 408090 is about 638.8192232549. The cubic root of 408090 is about 74.1740485576.

Adding to 408090 its reverse (90804), we get a palindrome (498894).

The spelling of 408090 in words is "four hundred eight thousand, ninety".