404230320 has 240 divisors, whose sum is σ = 1539588960. Its totient is φ = 94224384.

The previous prime is 404230319. The next prime is 404230327. The reversal of 404230320 is 23032404.

404230320 is a `hidden beast` number, since 404 + 230 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404230293 and 404230302.

It is not an unprimeable number, because it can be changed into a prime (404230327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176704 + ... + 178976.

It is an arithmetic number, because the mean of its divisors is an integer number (6414954).

Almost surely, 2^404230320 is an apocalyptic number.

404230320 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 404230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769794480).

404230320 is an abundant number, since it is smaller than the sum of its proper divisors (1135358640).

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

404230320 is a wasteful number, since it uses less digits than its factorization.

404230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 404230320 is about 20105.4798500309. The cubic root of 404230320 is about 739.3946351753.

Adding to 404230320 its reverse (23032404), we get a palindrome (427262724).

It can be divided in two parts, 404230 and 320, that added together give a triangular number (404550 = T₈₉₉).

The spelling of 404230320 in words is "four hundred four million, two hundred thirty thousand, three hundred twenty".