404004007 has 8 divisors (see below), whose sum is σ = 445011840. Its totient is φ = 363709560.

The previous prime is 404003983. The next prime is 404004023. The reversal of 404004007 is 700400404.

It is a happy number.

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 404004007 - 2⁷ = 404003879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004047) 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, 177157 + ... + 179422.

It is an arithmetic number, because the mean of its divisors is an integer number (55626480).

Almost surely, 2^404004007 is an apocalyptic number.

404004007 is a deficient number, since it is larger than the sum of its proper divisors (41007833).

404004007 is a wasteful number, since it uses less digits than its factorization.

404004007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356693.

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 404004007 is about 20099.8509198452. The cubic root of 404004007 is about 739.2566232157.

The spelling of 404004007 in words is "four hundred four million, four thousand, seven".