404224400 has 60 divisors (see below), whose sum is σ = 985709232. Its totient is φ = 159265920.

The previous prime is 404224397. The next prime is 404224439. The reversal of 404224400 is 4422404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19259 + ... + 34341.

Almost surely, 2^404224400 is an apocalyptic number.

404224400 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 404224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492854616).

404224400 is an abundant number, since it is smaller than the sum of its proper divisors (581484832).

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

404224400 is a wasteful number, since it uses less digits than its factorization.

404224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 404224400 is about 20105.3326259478. The cubic root of 404224400 is about 739.3910256509.

Adding to 404224400 its reverse (4422404), we get a palindrome (408646804).

The spelling of 404224400 in words is "four hundred four million, two hundred twenty-four thousand, four hundred".