404976 has 80 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 111360.

The previous prime is 404969. The next prime is 404977. The reversal of 404976 is 679404.

404976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6835 + ... + 6893.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2⁴⁰⁴⁹⁷⁶ 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 404976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

404976 is an abundant number, since it is smaller than the sum of its proper divisors (844944).

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

404976 is a wasteful number, since it uses less digits than its factorization.

404976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 404976 is about 636.3772466077. The cubic root of 404976 is about 73.9849007420.

The spelling of 404976 in words is "four hundred four thousand, nine hundred seventy-six".