404430 has 64 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 92160.

The previous prime is 404429. The next prime is 404431. The reversal of 404430 is 34404.

It is an interprime number because it is at equal distance from previous prime (404429) and next prime (404431).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404431) by changing a digit.

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, 6600 + ... + 6660.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2⁴⁰⁴⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

404430 is an abundant number, since it is smaller than the sum of its proper divisors (720498).

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

404430 is a wasteful number, since it uses less digits than its factorization.

404430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 404430 is about 635.9481110908. The cubic root of 404430 is about 73.9516362822.

404430 divided by its sum of digits (15) gives a palindrome (26962).

Adding to 404430 its reverse (34404), we get a palindrome (438834).

The spelling of 404430 in words is "four hundred four thousand, four hundred thirty".