404905984 has 112 divisors (see below), whose sum is σ = 968825088. Its totient is φ = 165445632.

The previous prime is 404905957. The next prime is 404905993. The reversal of 404905984 is 489509404.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 404905984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318759 + ... + 1319065.

It is an arithmetic number, because the mean of its divisors is an integer number (8650224).

Almost surely, 2^404905984 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 404905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484412544).

404905984 is an abundant number, since it is smaller than the sum of its proper divisors (563919104).

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

404905984 is an equidigital number, since it uses as much as digits as its factorization.

404905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 404905984 is about 20122.2758156228. The cubic root of 404905984 is about 739.8063676477.

The spelling of 404905984 in words is "four hundred four million, nine hundred five thousand, nine hundred eighty-four".