404004801 has 8 divisors (see below), whose sum is σ = 547803360. Its totient is φ = 264771392.

The previous prime is 404004787. The next prime is 404004817. The reversal of 404004801 is 108400404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404004801 - 2⁷ = 404004673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141080 + ... + 1141433.

It is an arithmetic number, because the mean of its divisors is an integer number (68475420).

Almost surely, 2^404004801 is an apocalyptic number.

It is an amenable number.

404004801 is a deficient number, since it is larger than the sum of its proper divisors (143798559).

404004801 is a wasteful number, since it uses less digits than its factorization.

404004801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282575.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 404004801 is about 20099.8706712257. The cubic root of 404004801 is about 739.2571075090.

The spelling of 404004801 in words is "four hundred four million, four thousand, eight hundred one".