404320 has 72 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 131328.

The previous prime is 404309. The next prime is 404321. The reversal of 404320 is 23404.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 404320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21271 + ... + 21289.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2⁴⁰⁴³²⁰ is an apocalyptic number.

404320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

404320 is an abundant number, since it is smaller than the sum of its proper divisors (747824).

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

404320 is a wasteful number, since it uses less digits than its factorization.

404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 404320 is about 635.8616201659. The cubic root of 404320 is about 73.9449310282.

Adding to 404320 its reverse (23404), we get a palindrome (427724).

The spelling of 404320 in words is "four hundred four thousand, three hundred twenty", and thus it is an iban number.