404016 has 40 divisors (see below), whose sum is σ = 1101120. Its totient is φ = 127296.

The previous prime is 404011. The next prime is 404017. The reversal of 404016 is 610404.

It is a junction number, because it is equal to n+sod(n) for n = 403986 and 404004.

It is not an unprimeable number, because it can be changed into a prime (404011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 691 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (27528).

2⁴⁰⁴⁰¹⁶ 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 404016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560).

404016 is an abundant number, since it is smaller than the sum of its proper divisors (697104).

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

404016 is a wasteful number, since it uses less digits than its factorization.

404016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 404016 is about 635.6225294937. The cubic root of 404016 is about 73.9263938174.

The spelling of 404016 in words is "four hundred four thousand, sixteen".