404235520 has 144 divisors (see below), whose sum is σ = 1104863760. Its totient is φ = 140378112.

The previous prime is 404235497. The next prime is 404235527. The reversal of 404235520 is 25532404.

It can be written as a sum of positive squares in 8 ways, for example, as 55591936 + 348643584 = 7456^2 + 18672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404235527) 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 15 ways as a sum of consecutive naturals, for example, 282166 + ... + 283594.

It is an arithmetic number, because the mean of its divisors is an integer number (7672665).

Almost surely, 2^404235520 is an apocalyptic number.

404235520 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 404235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552431880).

404235520 is an abundant number, since it is smaller than the sum of its proper divisors (700628240).

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

404235520 is a wasteful number, since it uses less digits than its factorization.

404235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 404235520 is about 20105.6091675930. The cubic root of 404235520 is about 739.3978056745.

Adding to 404235520 its reverse (25532404), we get a palindrome (429767924).

The spelling of 404235520 in words is "four hundred four million, two hundred thirty-five thousand, five hundred twenty".