404473104 has 240 divisors, whose sum is σ = 1349592192. Its totient is φ = 110702592.

The previous prime is 404473099. The next prime is 404473123. The reversal of 404473104 is 401374404.

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 47 ways as a sum of consecutive naturals, for example, 3579352 + ... + 3579464.

Almost surely, 2^404473104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404473104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674796096).

404473104 is an abundant number, since it is smaller than the sum of its proper divisors (945119088).

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

404473104 is a wasteful number, since it uses less digits than its factorization.

404473104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 404473104 is about 20111.5167006370. The cubic root of 404473104 is about 739.5426343491.

The spelling of 404473104 in words is "four hundred four million, four hundred seventy-three thousand, one hundred four".