404942976 has 192 divisors, whose sum is σ = 1238590080. Its totient is φ = 131632128.

The previous prime is 404942963. The next prime is 404942983. The reversal of 404942976 is 679249404.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461750 + ... + 1462026.

It is an arithmetic number, because the mean of its divisors is an integer number (6450990).

Almost surely, 2^404942976 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 404942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619295040).

404942976 is an abundant number, since it is smaller than the sum of its proper divisors (833647104).

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

404942976 is an equidigital number, since it uses as much as digits as its factorization.

404942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 404942976 is about 20123.1949749537. The cubic root of 404942976 is about 739.8288964033.

The spelling of 404942976 in words is "four hundred four million, nine hundred forty-two thousand, nine hundred seventy-six".