404906796 has 144 divisors (see below), whose sum is σ = 1285737600. Its totient is φ = 109571616.

The previous prime is 404906773. The next prime is 404906807. The reversal of 404906796 is 697609404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98535 + ... + 102561.

Almost surely, 2^404906796 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 404906796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642868800).

404906796 is an abundant number, since it is smaller than the sum of its proper divisors (880830804).

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

404906796 is a wasteful number, since it uses less digits than its factorization.

404906796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 404906796 is about 20122.2959922569. The cubic root of 404906796 is about 739.8068621842.

The spelling of 404906796 in words is "four hundred four million, nine hundred six thousand, seven hundred ninety-six".