404984 has 32 divisors (see below), whose sum is σ = 829440. Its totient is φ = 184800.

The previous prime is 404983. The next prime is 405001. The reversal of 404984 is 489404.

404984 = T₇₂ + T₇₃ + ... + T₁₄₀.

It is a happy number.

It is a super-3 number, since 3×404984³ = 199266756333107712, which contains 333 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5669 + ... + 5739.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2⁴⁰⁴⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

404984 is an abundant number, since it is smaller than the sum of its proper divisors (424456).

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

404984 is a wasteful number, since it uses less digits than its factorization.

404984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 404984 is about 636.3835321565. The cubic root of 404984 is about 73.9853879111.

The spelling of 404984 in words is "four hundred four thousand, nine hundred eighty-four".