404541320 has 64 divisors (see below), whose sum is σ = 948672000. Its totient is φ = 155082240.

The previous prime is 404541311. The next prime is 404541323. The reversal of 404541320 is 23145404.

It is not an unprimeable number, because it can be changed into a prime (404541323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 131156 + ... + 134204.

It is an arithmetic number, because the mean of its divisors is an integer number (14823000).

Almost surely, 2^404541320 is an apocalyptic number.

404541320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474336000).

404541320 is an abundant number, since it is smaller than the sum of its proper divisors (544130680).

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

404541320 is a wasteful number, since it uses less digits than its factorization.

404541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 404541320 is about 20113.2125728338. The cubic root of 404541320 is about 739.5842076156.

Adding to 404541320 its reverse (23145404), we get a palindrome (427686724).

The spelling of 404541320 in words is "four hundred four million, five hundred forty-one thousand, three hundred twenty".