404664984 has 128 divisors (see below), whose sum is σ = 1154232000. Its totient is φ = 132969600.

The previous prime is 404664973. The next prime is 404665031. The reversal of 404664984 is 489466404.

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 31 ways as a sum of consecutive naturals, for example, 1766982 + ... + 1767210.

Almost surely, 2^404664984 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 404664984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577116000).

404664984 is an abundant number, since it is smaller than the sum of its proper divisors (749567016).

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

404664984 is a wasteful number, since it uses less digits than its factorization.

404664984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 404664984 is about 20116.2865360384. The cubic root of 404664984 is about 739.6595609595.

The spelling of 404664984 in words is "four hundred four million, six hundred sixty-four thousand, nine hundred eighty-four".