404240200 has 288 divisors, whose sum is σ = 1246795200. Its totient is φ = 120476160.

The previous prime is 404240191. The next prime is 404240209. The reversal of 404240200 is 2042404.

It is an interprime number because it is at equal distance from previous prime (404240191) and next prime (404240209).

It is not an unprimeable number, because it can be changed into a prime (404240209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2420517 + ... + 2420683.

It is an arithmetic number, because the mean of its divisors is an integer number (4329150).

Almost surely, 2^404240200 is an apocalyptic number.

404240200 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 404240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623397600).

404240200 is an abundant number, since it is smaller than the sum of its proper divisors (842555000).

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

404240200 is a wasteful number, since it uses less digits than its factorization.

404240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 404240200 is about 20105.7255526877. The cubic root of 404240200 is about 739.4006591004.

Adding to 404240200 its reverse (2042404), we get a palindrome (406282604).

The spelling of 404240200 in words is "four hundred four million, two hundred forty thousand, two hundred".