409890 has 32 divisors (see below), whose sum is σ = 1060416. Its totient is φ = 100800.

The previous prime is 409889. The next prime is 409891. The reversal of 409890 is 98904.

409890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (409889) and next prime (409891).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409890.

It is not an unprimeable number, because it can be changed into a prime (409891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (33138).

2⁴⁰⁹⁸⁹⁰ is an apocalyptic number.

409890 is an abundant number, since it is smaller than the sum of its proper divisors (650526).

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

409890 is a wasteful number, since it uses less digits than its factorization.

409890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 409890 is about 640.2265224122. The cubic root of 409890 is about 74.2829440359.

The spelling of 409890 in words is "four hundred nine thousand, eight hundred ninety".