404200 has 48 divisors (see below), whose sum is σ = 982080. Its totient is φ = 154560.

The previous prime is 404197. The next prime is 404213. The reversal of 404200 is 2404.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 8577 + ... + 8623.

It is an arithmetic number, because the mean of its divisors is an integer number (20460).

2⁴⁰⁴²⁰⁰ is an apocalyptic number.

404200 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 404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

404200 is an abundant number, since it is smaller than the sum of its proper divisors (577880).

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

404200 is a wasteful number, since it uses less digits than its factorization.

404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 404200 is about 635.7672530101. The cubic root of 404200 is about 73.9376148185.

Adding to 404200 its reverse (2404), we get a palindrome (406604).

The spelling of 404200 in words is "four hundred four thousand, two hundred", and thus it is an iban number.