404045200 has 180 divisors, whose sum is σ = 1083316080. Its totient is φ = 144668160.

The previous prime is 404045183. The next prime is 404045221. The reversal of 404045200 is 2540404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2906731 + ... + 2906869.

Almost surely, 2^404045200 is an apocalyptic number.

404045200 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 404045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541658040).

404045200 is an abundant number, since it is smaller than the sum of its proper divisors (679270880).

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

404045200 is a wasteful number, since it uses less digits than its factorization.

404045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 404045200 is about 20100.8756028189. The cubic root of 404045200 is about 739.2817476886.

Adding to 404045200 its reverse (2540404), we get a palindrome (406585604).

The spelling of 404045200 in words is "four hundred four million, forty-five thousand, two hundred".