404460 has 96 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 91584.

The previous prime is 404449. The next prime is 404461. The reversal of 404460 is 64404.

404460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 404460.

It is not an unprimeable number, because it can be changed into a prime (404461) by changing a digit.

404460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3727 + ... + 3833.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2⁴⁰⁴⁴⁶⁰ 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 404460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

404460 is an abundant number, since it is smaller than the sum of its proper divisors (1047060).

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

404460 is a wasteful number, since it uses less digits than its factorization.

404460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404460 is about 635.9716974835. The cubic root of 404460 is about 73.9534647768.

Adding to 404460 its reverse (64404), we get a palindrome (468864).

The spelling of 404460 in words is "four hundred four thousand, four hundred sixty".