404013906 has 80 divisors (see below), whose sum is σ = 977486400. Its totient is φ = 124340832.

The previous prime is 404013899. The next prime is 404013923. The reversal of 404013906 is 609310404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 404013906.

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 39 ways as a sum of consecutive naturals, for example, 106185 + ... + 109923.

It is an arithmetic number, because the mean of its divisors is an integer number (12218580).

Almost surely, 2^404013906 is an apocalyptic number.

404013906 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404013906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488743200).

404013906 is an abundant number, since it is smaller than the sum of its proper divisors (573472494).

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

404013906 is a wasteful number, since it uses less digits than its factorization.

404013906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 404013906 is about 20100.0971639443. The cubic root of 404013906 is about 739.2626609789.

The spelling of 404013906 in words is "four hundred four million, thirteen thousand, nine hundred six".