404516 has 12 divisors (see below), whose sum is σ = 809088. Its totient is φ = 173352.

The previous prime is 404513. The next prime is 404527. The reversal of 404516 is 615404.

404516 = T₃₁₄ + T₃₁₅ + ... + T₃₂₁.

It is a happy number.

404516 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (404513) 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 3 ways as a sum of consecutive naturals, for example, 7196 + ... + 7251.

It is an arithmetic number, because the mean of its divisors is an integer number (67424).

2⁴⁰⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

404516 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

404516 is a wasteful number, since it uses less digits than its factorization.

404516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14458 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 404516 is about 636.0157230761. The cubic root of 404516 is about 73.9568777249.

Subtracting from 404516 its sum of digits (20), we obtain a square (404496 = 636²).

The spelling of 404516 in words is "four hundred four thousand, five hundred sixteen".