404976466433 has 16 divisors (see below), whose sum is σ = 505014082560. Its totient is φ = 315498354000.

The previous prime is 404976466417. The next prime is 404976466439. The reversal of 404976466433 is 334664679404.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 404976466433 - 2⁴ = 404976466417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404976466439) 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 15 ways as a sum of consecutive naturals, for example, 201743 + ... + 922308.

It is an arithmetic number, because the mean of its divisors is an integer number (31563380160).

Almost surely, 2^404976466433 is an apocalyptic number.

It is an amenable number.

404976466433 is a deficient number, since it is larger than the sum of its proper divisors (100037616127).

404976466433 is a wasteful number, since it uses less digits than its factorization.

404976466433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128748.

The product of its (nonzero) digits is 31352832, while the sum is 56.

The spelling of 404976466433 in words is "four hundred four billion, nine hundred seventy-six million, four hundred sixty-six thousand, four hundred thirty-three".