404814534900 has 144 divisors (see below), whose sum is σ = 1240555974336. Its totient is φ = 101568174080.

The previous prime is 404814534871. The next prime is 404814534931. The reversal of 404814534900 is 9435418404.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 18741907 + ... + 18763493.

It is an arithmetic number, because the mean of its divisors is an integer number (8614972044).

Almost surely, 2^404814534900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404814534900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620277987168).

404814534900 is an abundant number, since it is smaller than the sum of its proper divisors (835741439436).

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

404814534900 is a wasteful number, since it uses less digits than its factorization.

404814534900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25298 (or 25291 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 404814534900 in words is "four hundred four billion, eight hundred fourteen million, five hundred thirty-four thousand, nine hundred".