404321200 has 120 divisors (see below), whose sum is σ = 1056976992. Its totient is φ = 148008960.

The previous prime is 404321191. The next prime is 404321201. The reversal of 404321200 is 2123404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (404321201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 250797 + ... + 252403.

Almost surely, 2^404321200 is an apocalyptic number.

404321200 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 404321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528488496).

404321200 is an abundant number, since it is smaller than the sum of its proper divisors (652655792).

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

404321200 is a wasteful number, since it uses less digits than its factorization.

404321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 404321200 is about 20107.7398033692. The cubic root of 404321200 is about 739.4500418301.

Adding to 404321200 its reverse (2123404), we get a palindrome (406444604).

The spelling of 404321200 in words is "four hundred four million, three hundred twenty-one thousand, two hundred".