404972349306 has 64 divisors (see below), whose sum is σ = 974497152000. Its totient is φ = 109602222336.

The previous prime is 404972349259. The next prime is 404972349311. The reversal of 404972349306 is 603943279404.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6995970 + ... + 7053618.

It is an arithmetic number, because the mean of its divisors is an integer number (15226518000).

Almost surely, 2^404972349306 is an apocalyptic number.

404972349306 is an abundant number, since it is smaller than the sum of its proper divisors (569524802694).

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

404972349306 is a wasteful number, since it uses less digits than its factorization.

404972349306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66483.

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 404972349306 in words is "four hundred four billion, nine hundred seventy-two million, three hundred forty-nine thousand, three hundred six".