404004276 has 72 divisors (see below), whose sum is σ = 1135307264. Its totient is φ = 120294720.

The previous prime is 404004259. The next prime is 404004311. The reversal of 404004276 is 672400404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 585 + ... + 28431.

Almost surely, 2^404004276 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 404004276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567653632).

404004276 is an abundant number, since it is smaller than the sum of its proper divisors (731302988).

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

404004276 is a wasteful number, since it uses less digits than its factorization.

404004276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27901 (or 27896 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 404004276 is about 20099.8576114360. The cubic root of 404004276 is about 739.2567872900.

The spelling of 404004276 in words is "four hundred four million, four thousand, two hundred seventy-six".