404010520 has 64 divisors (see below), whose sum is σ = 933120000. Its totient is φ = 157367808.

The previous prime is 404010487. The next prime is 404010587. The reversal of 404010520 is 25010404.

It is a junction number, because it is equal to n+sod(n) for n = 404010494 and 404010503.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 315241 + ... + 316519.

It is an arithmetic number, because the mean of its divisors is an integer number (14580000).

Almost surely, 2^404010520 is an apocalyptic number.

404010520 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 404010520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466560000).

404010520 is an abundant number, since it is smaller than the sum of its proper divisors (529109480).

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

404010520 is a wasteful number, since it uses less digits than its factorization.

404010520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 404010520 is about 20100.0129353192. The cubic root of 404010520 is about 739.2605957444.

Adding to 404010520 its reverse (25010404), we get a palindrome (429020924).

The spelling of 404010520 in words is "four hundred four million, ten thousand, five hundred twenty".