404416 has 28 divisors (see below), whose sum is σ = 822960. Its totient is φ = 197120.

The previous prime is 404399. The next prime is 404419. The reversal of 404416 is 614404.

It is a junction number, because it is equal to n+sod(n) for n = 404393 and 404402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404419) 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, 4500 + ... + 4588.

2⁴⁰⁴⁴¹⁶ 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 404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480).

404416 is an abundant number, since it is smaller than the sum of its proper divisors (418544).

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

404416 is an equidigital number, since it uses as much as digits as its factorization.

404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

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

The square root of 404416 is about 635.9371038082. The cubic root of 404416 is about 73.9507829538.

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

The spelling of 404416 in words is "four hundred four thousand, four hundred sixteen".