404412320 has 96 divisors (see below), whose sum is σ = 1089538128. Its totient is φ = 140525568.

The previous prime is 404412319. The next prime is 404412343. The reversal of 404412320 is 23214404.

It can be written as a sum of positive squares in 8 ways, for example, as 115004176 + 289408144 = 10724^2 + 17012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404412292 and 404412301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29642 + ... + 41078.

Almost surely, 2^404412320 is an apocalyptic number.

404412320 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 404412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544769064).

404412320 is an abundant number, since it is smaller than the sum of its proper divisors (685125808).

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

404412320 is a wasteful number, since it uses less digits than its factorization.

404412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11474 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 404412320 is about 20110.0054699147. The cubic root of 404412320 is about 739.5055864704.

Adding to 404412320 its reverse (23214404), we get a palindrome (427626724).

The spelling of 404412320 in words is "four hundred four million, four hundred twelve thousand, three hundred twenty".