416404 has 12 divisors (see below), whose sum is σ = 767200. Its totient is φ = 197208.

The previous prime is 416401. The next prime is 416407. The reversal of 416404 is 404614.

It is an interprime number because it is at equal distance from previous prime (416401) and next prime (416407).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2664 + ... + 2815.

2⁴¹⁶⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

416404 is a deficient number, since it is larger than the sum of its proper divisors (350796).

416404 is a wasteful number, since it uses less digits than its factorization.

416404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 416404 is about 645.2937315673. The cubic root of 416404 is about 74.6743809348.

It can be divided in two parts, 416 and 404, that added together give a triangular number (820 = T₄₀).

The spelling of 416404 in words is "four hundred sixteen thousand, four hundred four".