410904 has 48 divisors (see below), whose sum is σ = 1201200. Its totient is φ = 126144.

The previous prime is 410903. The next prime is 410929. The reversal of 410904 is 409014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 717 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (25025).

2⁴¹⁰⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600600).

410904 is an abundant number, since it is smaller than the sum of its proper divisors (790296).

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

410904 is a wasteful number, since it uses less digits than its factorization.

410904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 410904 is about 641.0179404666. The cubic root of 410904 is about 74.3441481625.

Adding to 410904 its reverse (409014), we get a palindrome (819918).

The spelling of 410904 in words is "four hundred ten thousand, nine hundred four".