404410020 has 96 divisors (see below), whose sum is σ = 1302567168. Its totient is φ = 91832832.

The previous prime is 404410007. The next prime is 404410049. The reversal of 404410020 is 20014404.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62874 + ... + 69006.

It is an arithmetic number, because the mean of its divisors is an integer number (13568408).

Almost surely, 2^404410020 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 404410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651283584).

404410020 is an abundant number, since it is smaller than the sum of its proper divisors (898157148).

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

404410020 is a wasteful number, since it uses less digits than its factorization.

404410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 404410020 is about 20109.9482843691. The cubic root of 404410020 is about 739.5041845463.

Adding to 404410020 its reverse (20014404), we get a palindrome (424424424).

The spelling of 404410020 in words is "four hundred four million, four hundred ten thousand, twenty".