404044200 has 360 divisors, whose sum is σ = 1635623550. Its totient is φ = 92171520.

The previous prime is 404044189. The next prime is 404044231. The reversal of 404044200 is 2440404.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 352463076 + 51581124 = 18774^2 + 7182^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 793546 + ... + 794054.

Almost surely, 2^404044200 is an apocalyptic number.

404044200 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 404044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817811775).

404044200 is an abundant number, since it is smaller than the sum of its proper divisors (1231579350).

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

404044200 is a wasteful number, since it uses less digits than its factorization.

404044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 404044200 is about 20100.8507282652. The cubic root of 404044200 is about 739.2811377879.

Adding to 404044200 its reverse (2440404), we get a palindrome (406484604).

The spelling of 404044200 in words is "four hundred four million, forty-four thousand, two hundred".