404073806224 has 45 divisors (see below), whose sum is σ = 860594849611. Its totient is φ = 183657198560.

The previous prime is 404073806209. The next prime is 404073806233. The reversal of 404073806224 is 422608370404.

The square root of 404073806224 is 635668.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×404073806224² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 27962169 + ... + 27976615.

Almost surely, 2^404073806224 is an apocalyptic number.

404073806224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

404073806224 is the 635668-th square number.

It is an amenable number.

404073806224 is an abundant number, since it is smaller than the sum of its proper divisors (456521043387).

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

404073806224 is an frugal number, since it uses more digits than its factorization.

404073806224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28924 (or 14460 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 404073806224 in words is "four hundred four billion, seventy-three million, eight hundred six thousand, two hundred twenty-four".