890409 has 24 divisors (see below), whose sum is σ = 1375360. Its totient is φ = 509184.

The previous prime is 890377. The next prime is 890419. The reversal of 890409 is 904098.

890409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 890409 - 2⁵ = 890377 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 890409.

It is not an unprimeable number, because it can be changed into a prime (890419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11232 + ... + 11310.

2⁸⁹⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

890409 is a deficient number, since it is larger than the sum of its proper divisors (484951).

890409 is a wasteful number, since it uses less digits than its factorization.

890409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

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

The square root of 890409 is about 943.6148578737. The cubic root of 890409 is about 96.2047496297.

Subtracting 890409 from its reverse (904098), we obtain a square (13689 = 117²).

The spelling of 890409 in words is "eight hundred ninety thousand, four hundred nine".