404680446 has 48 divisors (see below), whose sum is σ = 917115264. Its totient is φ = 128720592.

The previous prime is 404680429. The next prime is 404680447. The reversal of 404680446 is 644086404.

It is a self number, because there is not a number n which added to its sum of digits gives 404680446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404680447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225565 + ... + 227351.

It is an arithmetic number, because the mean of its divisors is an integer number (19106568).

Almost surely, 2^404680446 is an apocalyptic number.

404680446 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 404680446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458557632).

404680446 is an abundant number, since it is smaller than the sum of its proper divisors (512434818).

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

404680446 is a wasteful number, since it uses less digits than its factorization.

404680446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 404680446 is about 20116.6708478317. The cubic root of 404680446 is about 739.6689814850.

The spelling of 404680446 in words is "four hundred four million, six hundred eighty thousand, four hundred forty-six".